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, cm2).
Calculate the volume of the prism.
Explain why the exponent for volume units is a 3 (that is, cm3).
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) = x2, (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).