Question

A company makes regular and tall boxes. The base area of each box is 5 ft. The volume of the regular box is 40 ft. The tall box is 3 ft taller. What is the volume of the tall box?

Answer 1

The base area of each box (regular and tall boxes) = 5 ft².

The volume of the regular box = 40 ft³.

The height of the regular box is given by:

$\text{ height = }\frac{\text{ volume}}{a\text{rea}}=\frac{40}{5}=8\text{ ft.}$

The tall box is 3 feet longer than the regular box.

Hence, the height of the tall box = 8 + 3 = 11 ft.

The volume of the tall box is given by:

$\begin{gathered} \text{ Volume = Area x height} \\ =5ft^2\text{ x 11 ft} \\ =55ft^3 \end{gathered}$

Therefore, the volume of the tall box is 55 ft³