Last updated on May 28th, 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 the cube of 74.
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 74 can be written as 74³, which is the exponential form.
Or it can also be written in arithmetic form as, 74 × 74 × 74.
In order to check whether a number is a cube number or not, we can use the following three methods: 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. 74³ = 74 × 74 × 74
Step 2: You get 405,224 as the answer.
Hence, the cube of 74 is 405,224.
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 74 into two parts, such as 70 and 4. Let a = 70 and b = 4, so a + b = 74
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 70³ 3a²b = 3 × 70² × 4 3ab² = 3 × 70 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (70 + 4)³ = 70³ + 3 × 70² × 4 + 3 × 70 × 4² + 4³ 74³ = 343,000 + 58,800 + 3,360 + 64 74³ = 405,224
Step 5: Hence, the cube of 74 is 405,224.
To find the cube of 74 using a calculator, input the number 74 and use the cube function (if available) or multiply 74 × 74 × 74. This operation calculates the value of 74³, resulting in 405,224. 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
Step 3: If the calculator has a cube function, press it to calculate 74³.
Step 4: If there is no cube function on the calculator, simply multiply 74 three times manually.
Step 5: The calculator will display 405,224.
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 74?
The cube of 74 is 405,224 and the cube root of 74 is approximately 4.21.
First, let’s find the cube of 74.
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 74³ = 405,224 Next, we must find the cube root of 74
We know that cube root of a number ‘x’, such that ∛x = y
Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ∛74 = 4.21
Hence, the cube of 74 is 405,224 and the cube root of 74 is approximately 4.21.
If the side length of the cube is 74 cm, what is the volume?
The volume is 405,224 cm³.
Use the volume formula for a cube V = Side³.
Substitute 74 for the side length: V = 74³ = 405,224 cm³.
How much larger is 74³ than 64³?
74³ – 64³ = 243,224.
First find the cube of 74³, that is 405,224
Next, find the cube of 64³, which is 262,000
Now, find the difference between them using the subtraction method.
405,224 – 262,000 = 143,224
Therefore, 74³ is 143,224 larger than 64³.
If a cube with a side length of 74 cm is compared to a cube with a side length of 14 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 74 cm is 405,224 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 74 means multiplying 74 by itself three times: 74 × 74 = 5,476, and then 5,476 × 74 = 405,224.
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 cm³.
Estimate the cube 73.9 using the cube 74.
The cube of 73.9 is approximately 405,224.
First, identify the cube of 74.
The cube of 74 is 74³ = 405,224.
Since 73.9 is only a tiny bit less than 74, the cube of 73.9 will be almost the same as the cube of 74.
The cube of 73.9 is approximately 405,224 because the difference between 73.9 and 74 is very small.
So, we can approximate the value as 405,224.
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.