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A cube has a volume of 64. What is the length of one side of the cube?

A cube has a volume of 64. What is the length of one side of the cube?-example-1
User Ferrix
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1 Answer

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15 votes

Answer:

4

Explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

  • The cube root of a number is the number you multiply by itself 3 times to get another number.
  • One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

  • 1: 1 x 1 x 1 = 1.
  • 2: 2 x 2 x 2 = 8.
  • 3: 3 x 3 x 3 = 27.
  • 4: 4 x 4 x 4 = 64. (This is the cube root!)

We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

User Roman Artiukhin
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