Question

A cube shaped terrarium has a volume of 27/64 cubic feet. What is the length of its sides?

Answer 1

A cube is a 3 dimensional object with 6 square faces. All its sides are the same length, there fore the volume is equal to $s^3$ where s is the side length.

$s^3 = \frac{27}{64}$

To solve for s, take the cube root of both sides.

$\sqrt[3]{s^3}= \sqrt[3]{ \frac{27}{64} }$

$s= \frac{3}{4}$ feet