Question

The length and breadth of a rectangular prism are both \(4 \mathrm{~cm}\), and its volume is \(48 \mathrm{~cm}^3\). Determine the height of the prism.

Answer 1

The volume of a rectangular prism is given by the formula $V = lwh$, where $l$ is the length, $w$ is the width, and $h$ is the height.

We are given that the length and width of the rectangular prism are both 4 cm, and its volume is 48 cm$^3$.

Substituting these values into the formula for volume, we get $V = lwh = 4 \times 4 \times h = 48$, so $h = \frac{48}{4 \times 4} = 3$ cm.