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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 740.
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 multiplied by itself three times results in a negative number.
The cube of 740 can be written as 740³, which is the exponential form. Or it can also be written in arithmetic form as, 740 × 740 × 740.
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. 740³ = 740 × 740 × 740
Step 2: You get 405,224,000 as the answer. Hence, the cube of 740 is 405,224,000.
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 740 into two parts, as 700 and 40. Let a = 700 and b = 40, so a + b = 740
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 40
3ab² = 3 × 700 × 40²
b³ = 40³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 40)³ = 700³ + 3 × 700² × 40 + 3 × 700 × 40² + 40³
740³ = 343,000,000 + 58,800,000 + 33,600,000 + 64,000
740³ = 435,464,000
Step 5: Hence, the cube of 740 is 405,224,000.
To find the cube of 740 using a calculator, input the number 740 and use the cube function (if available) or multiply 740 × 740 × 740. This operation calculates the value of 740³, resulting in 405,224,000. 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 4 and 0
Step 3: If the calculator has a cube function, press it to calculate 740³.
Step 4: If there is no cube function on the calculator, simply multiply 740 three times manually.
Step 5: The calculator will display 405,224,000.
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 740?
The cube of 740 is 405,224,000 and the cube root of 740 is approximately 8.983.
First, let’s find the cube of 740.
We know that the 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 740³ = 405,224,000
Next, we must find the cube root of 740 We know that the 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√740 ≈ 8.983
Hence, the cube of 740 is 405,224,000 and the cube root of 740 is approximately 8.983.
If the side length of the cube is 740 cm, what is the volume?
The volume is 405,224,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 740 for the side length: V = 740³ = 405,224,000 cm³.
How much larger is 740³ than 700³?
740³ – 700³ = 92,464,000.
First, find the cube of 740³, that is 405,224,000
Next, find the cube of 700³, which is 343,000,000
Now, find the difference between them using the subtraction method. 405,224,000 – 343,000,000 = 62,224,000
Therefore, 740³ is 62,224,000 larger than 700³.
If a cube with a side length of 740 cm is compared to a cube with a side length of 40 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 740 cm is 405,224,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 740 means multiplying 740 by itself three times: 740 × 740 = 547,600, and then 547,600 × 740 = 405,224,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 405,224,000 cm³.
Estimate the cube of 739.9 using the cube of 740.
The cube of 739.9 is approximately 405,224,000.
First, identify the cube of 740, The cube of 740 is 740³ = 405,224,000.
Since 739.9 is only a tiny bit less than 740, the cube of 739.9 will be almost the same as the cube of 740.
The cube of 739.9 is approximately 405,224,000 because the difference between 739.9 and 740 is very small.
So, we can approximate the value as 405,224,000.
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.