Last updated on June 3rd, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 278.
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 278 can be written as 278³, which is the exponential form.
Or it can also be written in arithmetic form as, 278 × 278 × 278.
In order to check whether a number is a cube number or not, we can use the following three methods: the 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. 278³ = 278 × 278 × 278
Step 2: You get 21,508,072 as the answer. Hence, the cube of 278 is 21,508,072.
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 278 into two parts. Let a = 270 and b = 8, so a + b = 278
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 270³ 3a²b = 3 × 270² × 8 3ab² = 3 × 270 × 8² b³ = 8³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (270 + 8)³ = 270³ + 3 × 270² × 8 + 3 × 270 × 8² + 8³ 278³ = 19,683,000 + 1,728,000 + 518,400 + 512 278³ = 21,508,072
Step 5: Hence, the cube of 278 is 21,508,072.
To find the cube of 278 using a calculator, input the number 278 and use the cube function (if available) or multiply 278 × 278 × 278. This operation calculates the value of 278³, resulting in 21,508,072. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2 followed by 7 and 8.
Step 3: If the calculator has a cube function, press it to calculate 278³.
Step 4: If there is no cube function on the calculator, simply multiply 278 three times manually.
Step 5: The calculator will display 21,508,072.
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 278?
The cube of 278 is 21,508,072 and the cube root of 278 is approximately 6.544.
First, let’s find the cube of 278.
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 278³ = 21,508,072
Next, we must find the cube root of 278
We know that the 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 ∛278 ≈ 6.544
Hence, the cube of 278 is 21,508,072 and the cube root of 278 is approximately 6.544.
If the side length of the cube is 278 cm, what is the volume?
The volume is 21,508,072 cm³.
Use the volume formula for a cube V = Side³.
Substitute 278 for the side length: V = 278³ = 21,508,072 cm³.
How much larger is 278³ than 150³?
278³ – 150³ = 20,877,072.
First, find the cube of 278³, that is 21,508,072
Next, find the cube of 150³, which is 3,375,000
Now, find the difference between them using the subtraction method. 21,508,072 – 3,375,000 = 18,133,072
Therefore, 278³ is 18,133,072 larger than 150³.
If a cube with a side length of 278 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 278 cm is 21,508,072 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 278 means multiplying 278 by itself three times: 278 × 278 = 77,284, and then 77,284 × 278 = 21,508,072.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 21,508,072 cm³.
Estimate the cube 277 using the cube 278.
The cube of 277 is approximately 21,308,233.
First, identify the cube of 278,
The cube of 278 is 278³ = 21,508,072.
Since 277 is slightly less than 278, the cube of 277 will be somewhat less than the cube of 278.
The cube of 277 is approximately 21,308,233 because the difference between 277 and 278 is small.
So, we can approximate the value as 21,308,233.
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.