Answer
$A = 178176 \text{ cm}^3$
Work Step by Step
In this exercise, we are asked to find the volume of a rectangular box, which is given by the formula:
$V = lwh$, where $V$ is the volume, $l$ is the length of the box, $w$ is its width, and $h$ is its height.
Let's plug in the lengths of the base and height into the formula:
$V = 64 \text{ cm} \cdot 48 \text{ cm} \cdot 58\text{ cm}$
Do the multiplication:
$V =3072 \text{ cm}^2 \cdot 58\text{ cm}$
Multiply again:
$A = 178176 \text{ cm}^3$