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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 487.
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 487 can be written as 487³, which is the exponential form. Or it can also be written in arithmetic form as 487 × 487 × 487.
To determine 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 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. 487³ = 487 × 487 × 487
Step 2: You get 115,501,303 as the answer. Hence, the cube of 487 is 115,501,303.
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 487 into two parts, as 400 and 87. Let a = 400 and b = 87, so a + b = 487
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³= 400³ 3a²b = 3 × 400² × 87 3ab² = 3 × 400 × 87² b³ = 87³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(400 + 87)³ = 400³ + 3 × 400² × 87 + 3 × 400 × 87² + 87³
487³ = 64,000,000 + 41,760,000 + 9,100,800 + 658,503
487³ = 115,501,303
Step 5: Hence, the cube of 487 is 115,501,303.
To find the cube of 487 using a calculator, input the number 487 and use the cube function (if available) or multiply 487 × 487 × 487. This operation calculates the value of 487³, resulting in 115,501,303. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 487
Step 3: If the calculator has a cube function, press it to calculate 487³.
Step 4: If there is no cube function on the calculator, simply multiply 487 three times manually.
Step 5: The calculator will display 115,501,303.
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 487?
The cube of 487 is 115,501,303 and the cube root of 487 is approximately 7.887.
First, let’s find the cube of 487.
We know that the cube of a number is x³ = y Where x is the given number, and y is the cubed value of that number.
So, we get 487³ = 115,501,303
Next, we must find the cube root of 487. We know that the cube root of a number ‘x’ is such that ∛x = y Where x is the given number, and y is the cube root value of the number.
So, we get ∛487 ≈ 7.887
Hence, the cube of 487 is 115,501,303 and the cube root of 487 is approximately 7.887.
If the side length of the cube is 487 cm, what is the volume?
The volume is 115,501,303 cm³.
Use the volume formula for a cube V = Side³.
Substitute 487 for the side length: V = 487³ = 115,501,303 cm³.
How much larger is 487³ than 387³?
487³ – 387³ = 73,316,615.
First, find the cube of 487³, which is 115,501,303. Next, find the cube of 387³, which is 42,184,688.
Now, find the difference between them using the subtraction method.
115,501,303 – 42,184,688 = 73,316,615
Therefore, 487³ is 73,316,615 larger than 387³.
If a cube with a side length of 487 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 487 cm is 115,501,303 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 487 means multiplying 487 by itself three times: 487 × 487 = 237,169, and then 237,169 × 487 = 115,501,303.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 115,501,303 cm³.
Estimate the cube of 486.9 using the cube of 487.
The cube of 486.9 is approximately 115,501,303.
First, identify the cube of 487. The cube of 487 is 487³ = 115,501,303.
Since 486.9 is only a tiny bit less than 487, the cube of 486.9 will be almost the same as the cube of 487.
The cube of 486.9 is approximately 115,501,303 because the difference between 486.9 and 487 is very small.
So, we can approximate the value as 115,501,303.
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.