Last updated on June 5th, 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 736.
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 736 can be written as 736³, which is the exponential form. Or it can also be written in arithmetic form as, 736 × 736 × 736.
In order to check whether a number is a cube number or not, we can use the following three methods, such as multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.
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. 736³ = 736 × 736 × 736
Step 2: You get 398,034,176 as the answer. Hence, the cube of 736 is 398,034,176.
The formula (a + b)³ is a binomial formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.
Step 1: Split the number 736 into two parts, as 730 and 6. Let a = 730 and b = 6, so a + b = 736
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 730³
3a²b = 3 × 730² × 6
3ab² = 3 × 730 × 6²
b³ = 6³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(730 + 6)³ = 730³ + 3 × 730² × 6 + 3 × 730 × 6² + 6³
736³ = 389,017,000 + 95,256 + 7,884 + 216
736³ = 398,034,176
Step 5: Hence, the cube of 736 is 398,034,176.
To find the cube of 736 using a calculator, input the number 736 and use the cube function (if available) or multiply 736 × 736 × 736. This operation calculates the value of 736³, resulting in 398,034,176. 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 then 6
Step 3: If the calculator has a cube function, press it to calculate 736³.
Step 4: If there is no cube function on the calculator, simply multiply 736 three times manually.
Step 5: The calculator will display 398,034,176.
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:
What is the cube and cube root of 736?
The cube of 736 is 398,034,176 and the cube root of 736 is approximately 8.992.
First, let’s find the cube of 736.
We know that cube of a number, such that x³ = y Where x is the given number, and y is the cubed value of that number
So, we get 736³ = 398,034,176
Next, we must find the cube root of 736 We know that cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√736 ≈ 8.992
Hence, the cube of 736 is 398,034,176 and the cube root of 736 is approximately 8.992.
If the side length of the cube is 736 cm, what is the volume?
The volume is 398,034,176 cm³.
Use the volume formula for a cube V = Side³.
Substitute 736 for the side length: V = 736³ = 398,034,176 cm³.
How much larger is 736³ than 636³?
736³ – 636³ = 250,047,600.
First find the cube of 736³, which is 398,034,176.
Next, find the cube of 636³, which is 147,986,576. Now, find the difference between them using the subtraction method.
398,034,176 – 147,986,576 = 250,047,600
Therefore, the 736³ is 250,047,600 larger than 636³.
If a cube with a side length of 736 cm is compared to a cube with a side length of 136 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 736 cm is 398,034,176 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 736 means multiplying 736 by itself three times: 736 × 736 = 541,696, and then 541,696 × 736 = 398,034,176.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 398,034,176 cm³.
Estimate the cube 735.5 using the cube 736.
The cube of 735.5 is approximately 398,034,176.
First, identify the cube of 736, The cube of 736 is 736³ = 398,034,176.
Since 735.5 is only a tiny bit less than 736, the cube of 735.5 will be almost the same as the cube of 736.
The cube of 735.5 is approximately 398,034,176 because the difference between 735.5 and 736 is very small.
So, we can approximate the value as 398,034,176.
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.
: He loves to play the quiz with kids through algebra to make kids love it.