### Home > MC2 > Chapter 11 > Lesson 11.3.2 > Problem 11-98

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

Calculate the surface area of the prism. Show all 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)=cm^{2}.

To find the volume of a rectangular prism, multiply the base,

height, and width together.

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

See part (b).