Question

Create a real-world problem involving a cube - Use a perfect cube as its volume - Show using cube roots to find one edge

Answer 1

PART A

A box of sugar has equal lengths of 6 inches. Calculate the volume of sugar that can fill the box.

The volume of the box can be calculated using the cubic volume formula given to be:

$V=l^3$

Therefore, the volume of the box of sugar is calculated to be:

$\begin{gathered} V=6^3 \\ V=216\text{ cubic inches} \end{gathered}$

PART B

An ice cube is said to contain a volume of 8 cubic inches of water. What will be the length of one side of the cube?

The length of the cube can be calculated using the formula:

$l=\sqrt[3]{V}$

Hence, we can solve to be:

$\begin{gathered} l=\sqrt[3]{8} \\ l=2\text{ inches} \end{gathered}$