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2026-01-01
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>The volume of an oblique prism is the total space it occupies or the number of cubic units it can hold. An oblique prism is a type of prism in which the sides lean over the base, and the lateral faces are parallelograms. To find the volume of an oblique prism, we multiply the area of the base by the height of the prism. In real life, you might relate to the volume of an oblique prism by thinking of objects like a slanted glass or a leaning tower. In this topic, let’s learn about the volume of an oblique prism.</p>
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<p>The volume of an oblique prism is the total space it occupies or the number of cubic units it can hold. An oblique prism is a type of prism in which the sides lean over the base, and the lateral faces are parallelograms. To find the volume of an oblique prism, we multiply the area of the base by the height of the prism. In real life, you might relate to the volume of an oblique prism by thinking of objects like a slanted glass or a leaning tower. In this topic, let’s learn about the volume of an oblique prism.</p>
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<h2>What is the volume of the oblique prism?</h2>
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<h2>What is the volume of the oblique prism?</h2>
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<p>The volume of an oblique prism is the amount of space it occupies. It is calculated by using the<a>formula</a>: Volume = Base Area × Height</p>
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<p>The volume of an oblique prism is the amount of space it occupies. It is calculated by using the<a>formula</a>: Volume = Base Area × Height</p>
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<p>Where the<a>base</a>area is the area of the base of the prism, and the height is the perpendicular distance between the bases.</p>
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<p>Where the<a>base</a>area is the area of the base of the prism, and the height is the perpendicular distance between the bases.</p>
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<p>Volume of Oblique Prism Formula An oblique prism is a 3-dimensional shape where the sides are not perpendicular to the base.</p>
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<p>Volume of Oblique Prism Formula An oblique prism is a 3-dimensional shape where the sides are not perpendicular to the base.</p>
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<p>To calculate its volume, you multiply the area of the base by the height. The formula for the volume of an oblique prism is given as follows: Volume = Base Area × Height</p>
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<p>To calculate its volume, you multiply the area of the base by the height. The formula for the volume of an oblique prism is given as follows: Volume = Base Area × Height</p>
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<h2>How to Derive the Volume of an Oblique Prism?</h2>
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<h2>How to Derive the Volume of an Oblique Prism?</h2>
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<p>To derive the volume of an oblique prism, we consider the concept of volume as the total space occupied by a 3D object.</p>
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<p>To derive the volume of an oblique prism, we consider the concept of volume as the total space occupied by a 3D object.</p>
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<p>The volume can be derived as follows: The formula for the volume of any prism is: Volume = Base Area × Height</p>
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<p>The volume can be derived as follows: The formula for the volume of any prism is: Volume = Base Area × Height</p>
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<p>For an oblique prism, even though the sides are slanted, the height is measured as the perpendicular distance between the base and the top face.</p>
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<p>For an oblique prism, even though the sides are slanted, the height is measured as the perpendicular distance between the base and the top face.</p>
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<p>Therefore, the volume of an oblique prism will be, Volume = Base Area × Height</p>
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<p>Therefore, the volume of an oblique prism will be, Volume = Base Area × Height</p>
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<h2>How to find the volume of an oblique prism?</h2>
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<h2>How to find the volume of an oblique prism?</h2>
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<p>The volume of an oblique prism is always expressed in cubic units, for example, cubic centimeters (cm³) or cubic meters (m³). Calculate the base area, and multiply it by the height to find the volume.</p>
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<p>The volume of an oblique prism is always expressed in cubic units, for example, cubic centimeters (cm³) or cubic meters (m³). Calculate the base area, and multiply it by the height to find the volume.</p>
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<p>Let’s take a look at the formula for finding the volume of an oblique prism: Write down the formula Volume = Base Area × Height</p>
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<p>Let’s take a look at the formula for finding the volume of an oblique prism: Write down the formula Volume = Base Area × Height</p>
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<p>The base area is the area of the prism's base. The height is the perpendicular distance between the two bases.</p>
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<p>The base area is the area of the prism's base. The height is the perpendicular distance between the two bases.</p>
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<p>Once we know the base area and the height, substitute those values in the formula Volume = Base Area × Height to find the volume.</p>
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<p>Once we know the base area and the height, substitute those values in the formula Volume = Base Area × Height to find the volume.</p>
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<h2>Tips and Tricks for Calculating the Volume of an Oblique Prism</h2>
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<h2>Tips and Tricks for Calculating the Volume of an Oblique Prism</h2>
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<p><strong>Remember the formula:</strong>The formula for the volume of an oblique prism is simple: Volume = Base Area × Height</p>
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<p><strong>Remember the formula:</strong>The formula for the volume of an oblique prism is simple: Volume = Base Area × Height</p>
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<p><strong>Break it down:</strong>The volume is how much space fits inside the prism. Calculate the area of the base and multiply it by the height.</p>
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<p><strong>Break it down:</strong>The volume is how much space fits inside the prism. Calculate the area of the base and multiply it by the height.</p>
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<p><strong>Simplify the<a>numbers</a>:</strong>If the base has a simple shape like a rectangle or triangle, calculate its area first.</p>
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<p><strong>Simplify the<a>numbers</a>:</strong>If the base has a simple shape like a rectangle or triangle, calculate its area first.</p>
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<p><strong>Check for base area:</strong>Ensure you accurately calculate the base area, especially if the base is a complex shape.</p>
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<p><strong>Check for base area:</strong>Ensure you accurately calculate the base area, especially if the base is a complex shape.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>An oblique prism has a triangular base with an area of 30 cm² and a height of 10 cm. What is its volume?</p>
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<p>An oblique prism has a triangular base with an area of 30 cm² and a height of 10 cm. What is its volume?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The volume of the oblique prism is 300 cm³.</p>
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<p>The volume of the oblique prism is 300 cm³.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the volume of an oblique prism, use the formula: V = Base Area × Height</p>
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<p>To find the volume of an oblique prism, use the formula: V = Base Area × Height</p>
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<p>Here, the base area is 30 cm² and the height is 10 cm,</p>
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<p>Here, the base area is 30 cm² and the height is 10 cm,</p>
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<p>so: V = 30 × 10 = 300 cm³</p>
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<p>so: V = 30 × 10 = 300 cm³</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>An oblique prism has a rectangular base that is 5 m by 3 m, and a height of 12 m. Find its volume.</p>
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<p>An oblique prism has a rectangular base that is 5 m by 3 m, and a height of 12 m. Find its volume.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The volume of the oblique prism is 180 m³.</p>
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<p>The volume of the oblique prism is 180 m³.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the volume of an oblique prism, use the formula: V = Base Area × Height</p>
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<p>To find the volume of an oblique prism, use the formula: V = Base Area × Height</p>
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<p>The base area is 5 m × 3 m = 15 m².</p>
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<p>The base area is 5 m × 3 m = 15 m².</p>
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<p>Substitute the base area and height (12 m): V = 15 × 12 = 180 m³</p>
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<p>Substitute the base area and height (12 m): V = 15 × 12 = 180 m³</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>The volume of an oblique prism is 400 cm³ with a base area of 50 cm². What is the height of the prism?</p>
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<p>The volume of an oblique prism is 400 cm³ with a base area of 50 cm². What is the height of the prism?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The height of the prism is 8 cm.</p>
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<p>The height of the prism is 8 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>If you know the volume of the prism and the base area, you can find the height by rearranging the formula:</p>
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<p>If you know the volume of the prism and the base area, you can find the height by rearranging the formula:</p>
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<p>Height = Volume / Base Area Height = 400 / 50 = 8 cm</p>
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<p>Height = Volume / Base Area Height = 400 / 50 = 8 cm</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>An oblique prism has a hexagonal base with an area of 100 inches² and a height of 15 inches. Find its volume.</p>
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<p>An oblique prism has a hexagonal base with an area of 100 inches² and a height of 15 inches. Find its volume.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The volume of the oblique prism is 1500 inches³.</p>
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<p>The volume of the oblique prism is 1500 inches³.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Using the formula for volume: V = Base Area × Height</p>
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<p>Using the formula for volume: V = Base Area × Height</p>
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<p>Substitute the base area (100 inches²) and height (15 inches):</p>
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<p>Substitute the base area (100 inches²) and height (15 inches):</p>
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<p>V = 100 × 15 = 1500 inches³</p>
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<p>V = 100 × 15 = 1500 inches³</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>You have an oblique prism with a base area of 25 ft² and a height of 5 ft. How much space (in cubic feet) is available inside the prism?</p>
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<p>You have an oblique prism with a base area of 25 ft² and a height of 5 ft. How much space (in cubic feet) is available inside the prism?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The prism has a volume of 125 cubic feet.</p>
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<p>The prism has a volume of 125 cubic feet.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Using the formula for volume: V = Base Area × Height Substitute the base area (25 ft²) and height (5 ft):</p>
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<p>Using the formula for volume: V = Base Area × Height Substitute the base area (25 ft²) and height (5 ft):</p>
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<p>V = 25 × 5 = 125 ft³</p>
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<p>V = 25 × 5 = 125 ft³</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Volume of Oblique Prism</h2>
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<h2>FAQs on Volume of Oblique Prism</h2>
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<h3>1.Is the volume of an oblique prism the same as the surface area?</h3>
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<h3>1.Is the volume of an oblique prism the same as the surface area?</h3>
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<p>No, the volume and surface area of an oblique prism are different concepts: Volume refers to the space inside the prism and is given by V = Base Area × Height. Surface area refers to the total area of the prism’s faces.</p>
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<p>No, the volume and surface area of an oblique prism are different concepts: Volume refers to the space inside the prism and is given by V = Base Area × Height. Surface area refers to the total area of the prism’s faces.</p>
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<h3>2.How do you find the volume if the base area and height are given?</h3>
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<h3>2.How do you find the volume if the base area and height are given?</h3>
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<p>To calculate the volume when the base area and height are provided, simply multiply them. For example, if the base area is 30 cm² and the height is 10 cm, the volume would be: V = 30 × 10 = 300 cm³.</p>
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<p>To calculate the volume when the base area and height are provided, simply multiply them. For example, if the base area is 30 cm² and the height is 10 cm, the volume would be: V = 30 × 10 = 300 cm³.</p>
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<h3>3.What if I have the volume and need to find the height?</h3>
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<h3>3.What if I have the volume and need to find the height?</h3>
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<p>If the volume of the oblique prism is given and you need to find the height, divide the volume by the base area. The formula for the height is: Height = Volume / Base Area.</p>
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<p>If the volume of the oblique prism is given and you need to find the height, divide the volume by the base area. The formula for the height is: Height = Volume / Base Area.</p>
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<h3>4.Can the base area be a complex shape like a polygon?</h3>
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<h3>4.Can the base area be a complex shape like a polygon?</h3>
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<p>Yes, the base area of an oblique prism can be any shape, including polygons. As long as you can calculate the area of the base, you can find the volume by multiplying by the height.</p>
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<p>Yes, the base area of an oblique prism can be any shape, including polygons. As long as you can calculate the area of the base, you can find the volume by multiplying by the height.</p>
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<h3>5.Is the volume of an oblique prism the same as the lateral area?</h3>
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<h3>5.Is the volume of an oblique prism the same as the lateral area?</h3>
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<p>No, the volume and lateral area of an oblique prism are different concepts: volume refers to the space inside the prism, while lateral area refers to the<a>sum</a>of the areas of the lateral faces.</p>
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<p>No, the volume and lateral area of an oblique prism are different concepts: volume refers to the space inside the prism, while lateral area refers to the<a>sum</a>of the areas of the lateral faces.</p>
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<h2>Important Glossaries for Volume of Oblique Prism</h2>
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<h2>Important Glossaries for Volume of Oblique Prism</h2>
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<ul><li><strong>Base Area:</strong>The area of the base of the prism. It is crucial for calculating the volume.</li>
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<ul><li><strong>Base Area:</strong>The area of the base of the prism. It is crucial for calculating the volume.</li>
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</ul><ul><li><strong>Height:</strong>The perpendicular distance between the two bases of the prism.</li>
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</ul><ul><li><strong>Height:</strong>The perpendicular distance between the two bases of the prism.</li>
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</ul><ul><li><strong>Volume:</strong>The amount of space enclosed within a 3D object, calculated by multiplying base area by height. It is expressed in cubic units (e.g., cm³, m³).</li>
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</ul><ul><li><strong>Volume:</strong>The amount of space enclosed within a 3D object, calculated by multiplying base area by height. It is expressed in cubic units (e.g., cm³, m³).</li>
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</ul><ul><li><strong>Cubic Units:</strong>The units of measurement used for volume. If the base area is in square centimeters (cm²) and height in centimeters (cm), the volume will be in cubic centimeters (cm³).</li>
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</ul><ul><li><strong>Cubic Units:</strong>The units of measurement used for volume. If the base area is in square centimeters (cm²) and height in centimeters (cm), the volume will be in cubic centimeters (cm³).</li>
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</ul><ul><li><strong>Oblique Prism:</strong>A type of prism where the lateral faces are not perpendicular to the base and are parallelograms.</li>
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</ul><ul><li><strong>Oblique Prism:</strong>A type of prism where the lateral faces are not perpendicular to the base and are parallelograms.</li>
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</ul><p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<h2>Seyed Ali Fathima S</h2>
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<h2>Seyed Ali Fathima S</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
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<p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She has songs for each table which helps her to remember the tables</p>
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<p>: She has songs for each table which helps her to remember the tables</p>