The volume of a cube is V=27. Find the length of one of its sides.

Answer 1

The volume of any rectangular prism equals length X width X height, or

V = lwh

A cube is a special rectangular prism in which all sides (s) are equal in length, such that length = width = hieght or

l = w = h

Because they are all equal, with squares and cubes, we usually use the term side for all three of them. Therefore,

Volume = side X side X side or

V = s^3

So, in your problem, if V = 27, since V = s^3

s^3 = 27

Taking the cube root of each side, we get the result of:

s = 3

Hope this helped.

Answer 2

Hello, Tina!

This problem is asking you to think backward about a mathematical problem that you already know how to solve.

The first thing you should do when faced with a problem where you don't know "the answer" is to think about what you do know.

In this case, what can you tell me about the volume of a cube?

Since we know that the volume of a cube is the the cube of its side length (or, more generally: the volume of a rectangular block is length times width times height; or even more generally: the volume of any cylinder is base area times height) we can proceed to writing down an equation for the problem.

In this case V=L³=27

The question can now be rephrased as, what is the cube root of 27? Or, if you prefer, less formally, as what number cubed equals 27?

3³=27 so we have our answer that the length of the sides of the cube is 3.

I hope that helps you not only get the right answer, but see some strategies for solving other problems in mathematics as well!

Answer 3

What you need to know is the formula for the Volume (V) of a cube. It is

V = a³ where a is the length of a side.

If you plug in V = 27 you get

27 = a³ and solve for a by taking the 3rd root: a = 3

Answer 4

What are the prime factors of 27? 3x3x3 The length of a side is 3

Answer 5

The volume of a cube is found by the following formula:

Volume = Length x Width x Height

Since this is a cube, all 3 sides are the same length, x

This gives us:

27 = (x)(x)(x)

What number multiplied 3 times gives 27?

The answer is 3.

The side of this cube is 3 units.