Cube of 738
2026-02-28 01:12 Diff
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Last updated on August 5, 2025

When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 738.

Cube of 738

A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times. When you cube a positive number, the result is always positive. When you cube a negative number, the result is always negative. This is because a negative number by itself three times results in a negative number. The cube of 738 can be written as \(738^3\), which is the exponential form. Or it can also be written in arithmetic form as, 738 × 738 × 738.

How to Calculate the Value of Cube of 738

To find whether a number is a cube number or not, we can use the following three methods: multiplication method, a factor formula (\(a^3\)), or by using a calculator. These three methods will help to cube the numbers faster and easier without confusion or getting stuck while evaluating the answers. - By Multiplication Method - Using a Formula - Using a Calculator

By Multiplication Method

The multiplication method is a process in mathematics used to find the product of two numbers or quantities by combining them through repeated addition. It is a fundamental operation that forms the basis for more complex mathematical concepts. Step 1: Write down the cube of the given number. \(738^3 = 738 \times 738 \times 738\) Step 2: You get 401,967,672 as the answer. Hence, the cube of 738 is 401,967,672.

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Using a Formula (\(a^3\))

The formula \((a + b)^3\) is a binomial formula for finding the cube of a number. The formula is expanded as \(a^3 + 3a^2b + 3ab^2 + b^3\). Step 1: Split the number 738 into two parts, as 700 and 38. Let \(a = 700\) and \(b = 38\), so \(a + b = 738\) Step 2: Now, apply the formula \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) Step 3: Calculate each term \(a^3 = 700^3\) \(3a^2b = 3 \times 700^2 \times 38\) \(3ab^2 = 3 \times 700 \times 38^2\) \(b^3 = 38^3\) Step 4: Add all the terms together: \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) \((700 + 38)^3 = 700^3 + 3 \times 700^2 \times 38 + 3 \times 700 \times 38^2 + 38^3\) \(738^3 = 343,000,000 + 55,860,000 + 30,276,000 + 54,672\) \(738^3 = 401,967,672\) Step 5: Hence, the cube of 738 is 401,967,672.

Using a Calculator

To find the cube of 738 using a calculator, input the number 738 and use the cube function (if available) or multiply 738 × 738 × 738. This operation calculates the value of \(738^3\), resulting in 401,967,672. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 7 followed by 3 and 8 Step 3: If the calculator has a cube function, press it to calculate \(738^3\). Step 4: If there is no cube function on the calculator, simply multiply 738 three times manually. Step 5: The calculator will display 401,967,672.

Tips and Tricks for the Cube of 738

The cube of any even number is always even, while the cube of any odd number is always odd. The product of two or more perfect cube numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal prime factors.

Common Mistakes to Avoid When Calculating the Cube of 738

There are some typical errors that might be made during the process of cubing a number. Let us take a look at five of the major mistakes that might be made:

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Problem 1

What is the cube and cube root of 738?

Okay, lets begin

The cube of 738 is 401,967,672 and the cube root of 738 is approximately 8.985.

Explanation

First, let’s find the cube of 738. We know that the cube of a number, such that \(x^3 = y\) Where \(x\) is the given number, and \(y\) is the cubed value of that number So, we get \(738^3 = 401,967,672\) Next, we must find the cube root of 738 We know that the cube root of a number ‘x’, such that \(\sqrt[3]{x} = y\) Where ‘x’ is the given number, and \(y\) is the cube root value of the number So, we get \(\sqrt[3]{738} \approx 8.985\) Hence the cube of 738 is 401,967,672 and the cube root of 738 is approximately 8.985.

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Problem 2

If the side length of the cube is 738 cm, what is the volume?

Okay, lets begin

The volume is 401,967,672 cm³.

Explanation

Use the volume formula for a cube \(V = \text{Side}^3\). Substitute 738 for the side length: \(V = 738^3 = 401,967,672\) cm³.

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Problem 3

How much larger is \(738^3\) than \(700^3\)?

Okay, lets begin

\(738^3 - 700^3 = 58,967,672\).

Explanation

First, find the cube of \(738^3\), that is 401,967,672 Next, find the cube of \(700^3\), which is 343,000,000 Now, find the difference between them using the subtraction method. 401,967,672 - 343,000,000 = 58,967,672 Therefore, \(738^3\) is 58,967,672 larger than \(700^3\).

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Problem 4

If a cube with a side length of 738 cm is compared to a cube with a side length of 38 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 738 cm is 401,967,672 cm³ more than the cube with a side length of 38 cm.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 738 means multiplying 738 by itself three times: 738 × 738 × 738 = 401,967,672 cm³. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the larger cube is 401,967,672 cm³ more than the smaller cube.

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Problem 5

Estimate the cube of 737 using the cube of 738.

Okay, lets begin

The cube of 737 is approximately 401,967,672.

Explanation

First, identify the cube of 738, The cube of 738 is \(738^3 = 401,967,672\). Since 737 is only a tiny bit less than 738, the cube of 737 will be almost the same as the cube of 738. The cube of 737 is approximately 401,967,672 because the difference between 737 and 738 is very small. So, we can approximate the value as 401,967,672.

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FAQs on Cube of 738

1.What are the perfect cubes up to 738?

The perfect cubes up to 738 are 1, 8, 27, 64, 125, 216, 343, and 512.

2.How do you calculate \(738^3\)?

To calculate \(738^3\), use the multiplication method, 738 × 738 × 738, which equals 401,967,672.

3.What is the meaning of \(738^3\)?

\(738^3\) means 738 multiplied by itself three times, or 738 × 738 × 738.

4.What is the cube root of 738?

5.Is 738 a perfect cube?

No, 738 is not a perfect cube because no integer multiplied by itself three times equals 738.

Important Glossaries for Cube of 738

- Binomial Formula: An algebraic expression used to expand the powers of a number, written as \((a + b)^n\), where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number. - Cube of a Number: Multiplying a number by itself three times is called the cube of a number. - Exponential Form: A way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, \(2^3\) represents \(2 \times 2 \times 2\) equals 8. - Perfect Cube: A number that is the cube of an integer. For example, 8 is a perfect cube because \(2^3 = 8\). - Volume: The amount of space occupied by a 3-dimensional object, usually measured in cubic units. For cubes, the volume is calculated as the side length raised to the third power.

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Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

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: He loves to play the quiz with kids through algebra to make kids love it.