Area of the Base: 14 in.^2 Possible Length and Width: See solution.
Practice makes perfect
The volume of a rectangular prism with length l, width w, and height h can be calculated using the formula below.
V=l whWe are given that h= 11 and V= 154. We are asked to find the area of the rectangular base and then a possible length and width of the base.
We know that the area of the base, l w, is 14 square inches. Any factor pair of 14 can be the possible length and width. Let's choose the factors 7 and 2.
14 = 7 * 2
Then, a possible length and width are 7 inches and 2 inches.