Last updated on June 3rd, 2025
When a number is multiplied by itself three times, 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 -1331.
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 -1331 can be written as (-1331)3, which is the exponential form. Or it can also be written in arithmetic form as -1331 × -1331 × -1331.
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 numbers or quantities by combining them through repeated multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number.
(-1331)3 = -1331 × -1331 × -1331
Step 2: You get -2,352,637,961 as the answer.
Hence, the cube of -1331 is -2,352,637,961.
The formula (a + b)3is a binomial formula for finding the cube of a number. The formula is expanded as a3 + 3a2b + 3ab2 + b3 .
Step 1: Split the number -1331 into two parts, as -1300 and -31.
Let a = -1300 and b = -31, so a + b = -1331
Step 2: Now, apply the formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
Step 3: Calculate each term a3 = (-1300)3 , 3a2b = 3 × (-1300)2 × (-31) , 3ab2 = 3 × (-1300) × (-31)2 , b3 = (-31)3
Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3
(-1300 + -31)3= (-1300)3 + 3 × (-1300)2 × (-31) + 3 × (-1300) × (-31)2 + (-31)3
(-1331)3 = -2,197,000,000 + 1,247,900 + 1,249,700 + -29,791
(-1331)3 = -2,352,637,961
Step 5: Hence, the cube of -1331 is -2,352,637,961.
To find the cube of -1331 using a calculator, input the number -1331 and use the cube function (if available) or multiply -1331 × -1331 × -1331. This operation calculates the value of (-1331)3, resulting in -2,352,637,961. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 3, 3, 1, and then the negative sign
Step 3: If the calculator has a cube function, press it to calculate (-1331)3.
Step 4: If there is no cube function on the calculator, simply multiply -1331 three times manually.
Step 5: The calculator will display -2,352,637,961.
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 -1331?
The cube of -1331 is -2,352,637,961 and the cube root of -1331 is -11.
First, let’s find the cube of -1331.
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 (-1331)3 = -2,352,637,961
Next, we must find the cube root of -1331
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 ∛-1331 = -11
Hence the cube of -1331 is -2,352,637,961 and the cube root of -1331 is -11.
If the side length of a cube is -1331 units, what is the volume?
The volume is -2,352,637,961 cubic units.
Use the volume formula for a cube V = Side3.
Substitute -1331 for the side length: V = (-1331)3 = -2,352,637,961 cubic units.
How much larger is (-1331)^3 than (-1300)^3?
(-1331)^3 – (-1300)3 = -155,637,961.
First find the cube of (-1331), which is -2,352,637,961.
Next, find the cube of (-1300), which is -2,197,000,000.
Now, find the difference between them using the subtraction method.
-2,352,637,961 - (-2,197,000,000) = -155,637,961
Therefore, (-1331)3 is -155,637,961 larger than (-1300)3.
If a cube with a side length of -1331 units is compared to a cube with a side length of -31 units, how much larger is the volume of the larger cube?
The volume of the cube with a side length of -1331 units is -2,352,637,961 cubic units.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing -1331 means multiplying -1331 by itself three times: -1331 × -1331 = 1,769,161, and then 1,769,161 × -1331 = -2,352,637,961.
The unit of volume is cubic units, because we are calculating the space inside the cube.
Therefore, the volume of the cube is -2,352,637,961 cubic units.
Estimate the cube of -1329 using the cube of -1331.
The cube of -1329 is approximately -2,352,637,961.
First, identify the cube of -1331.
The cube of -1331 is (-1331)3 = -2,352,637,961.
Since -1329 is only a tiny bit different from -1331, the cube of -1329 will be almost the same as the cube of -1331.
The cube of -1329 is approximately -2,352,637,961 because the difference between -1329 and -1331 is very small.
So, we can approximate the value as -2,352,637,961.
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.