Question

The volume of a cube - shaped compost bin is $27$ cubic – feet. What is the edge length of the compost bin?

Answer 1

Given: The volume of a cube - shaped compost bin is $27$ cubic – feet.

Let the length of edge $=\mathrm{a}$

We know that

Volume of cube $={\left(\mathrm{side}\right)}^3={\mathrm{a}}^3$

Now, according to the question,

$$\begin{gathered} {\mathrm{a}}^3=27 \\ \Rightarrow \mathrm{a}=\sqrt[3]{27} \\ \Rightarrow \mathrm{a}=\sqrt[3]{{\left(3\right)}^3} \end{gathered}$$

$\Rightarrow \mathrm{a}=3$ ( cancel cube with cube root )

Hence, the edge length of the compost bin is $3$ feet.