Area of the Base: 9 m^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= 3 and V= 27. We are asked to find the area of the rectangular base, then find a possible length and width of the base.
We have found that the area of the base is 9 square meters. Any factor pair of 9 can be a possible length and width. Let's choose the factors 3 and 3.
9 = 3 * 3
Then, a possible length and width are 3 meters and 3 meters. Note that in this case the base is a square, and since the height of the prism is also 3 meters, the rectangular prism is actually a cube.
