Question

The dimensions of a rectangular prism are 24 cm x 20 cm x 15 cm. Find surface area of a rectangular prism.

Answer 1

The surface area of a rectangular prism can be calculated by using the following formula:

$SA=2wl+2hl+2hw$

Where "l" is the length, "w" is the width and "h" is the height.

In this case, you can identify that:

$\begin{gathered} l=24\operatorname{cm} \\ w=20\operatorname{cm} \\ h=15\operatorname{cm} \end{gathered}$

Therefore, you can substitute values into the formula and evaluate, in order to find the surface area of this rectangular prism:

$\begin{gathered} \\ SA=(2)(20\operatorname{cm})(24\operatorname{cm})+(2)(15\operatorname{cm})(24\operatorname{cm})+(2)(15\operatorname{cm})(20\operatorname{cm}) \\ SA=960\operatorname{cm}^2+720\operatorname{cm}^2+600\operatorname{cm}^2 \\ SA=2280\operatorname{cm}^2 \end{gathered}$

Hence, the answer is:

$SA=2280\operatorname{cm}^2$