Question

The volume of a cube of ice for an ice sculpture is $64,000$ cubic inches.

What is the edge length of the cube of ice?

Answer 1

Given: Volume of a cube of ice $=64,000$ cubic inches.

We know that

volume of the cube $={(\mathrm{side})}^3$

Let $s$ be the edge length of cube of ice.

Now, according to the question,

$$\begin{gathered} s^3=64000 \\ \Rightarrow s=\sqrt[3]{64000} \\ \Rightarrow s=\sqrt[3]{{\left(40\right)}^3} \end{gathered}$$

$\Rightarrow s=40$ ( cancel cube with cube root )

Hence, the edge length of the cube of ice is $40$ inches.