Question

The volume of a cubical bin is 27 cubic feet.

What are its length, width, and height?
Which of the following equations could represent the word problem given?

y=27^3

27=x^3

27=3^x

Answer 1

The answer is the second one. 27=x^3

Answer 2

Part A) The length, the width and the height have the same value equal to
`3\ ft`

Part B)
`27=x^(3)`

Explanation:

we know that

The volume of a cube is equal to

`V=x^(3)`

where

x is the side length of the cube

Remember that in a cube the length, the width and the height have the same value

so

in this problem we have

`V=27\ ft^(3)`

substitute

`27=x^(3)`

`x=\sqrt[3]{27}=3\ ft`