Question

A rectangular box has the dimensions `12\times 18 \times 14` inches. What's its volume? What's its surface area?

Answer 1

Volume: 3024 cubed inches
SA: 1272 squared inches

Explanation:

The formula for the volume of a rectangular prism/box is `l*w*h`, so the volume would be the dimensions (12, 18, 14) being multiplied.

`12*18*14=3024`

The formula for the surface area of a rectangular prism/box is `2lw+2wh+2lh`. Each of the six surfaces' areas needs to be added together. The prism's dimensions serve as the rectangles' lengths and widths. Each combination of dimensions are the lengths and widths of two rectangles (prism's length times prism's width, prism's width times prism's height, prism's length time prism's height).

`2*12*18+2*18*14+2*12*14=1272`