### Home > CC2MN > Chapter cc29 > Lesson cc29.2.2 > Problem 9-66

Use the rectangular prism shown at right to complete parts (a) through (d) below. Homework Help ✎

Calculate the surface area of the prism. Show all of your subproblems.

Explain why the exponent for area units is 2 (that is, cm

^{2}).Calculate the volume of the prism.

Explain why the exponent for volume units is a 3 (that is, cm

^{3}).

To find the surface area, find the area of each face of the prism.

There are 6 faces in a rectangular prism.

Each of the three different faces shown in the image have an opposite face, so find the area of each of those 3 faces and multiply it by 2.

How many terms do you multiply together to find area?

To find area, you multiply two dimensions.

Just as (*x*)(*x*) = *x*^{2}, (cm)(cm) = cm².

To find the volume of a rectangular prism, multiply the base, height, and width together.

Volume = (12 cm)(4 cm)(3 cm)

See part (b).