Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
5. Volumes of Prisms and Cylinders
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Exercise 23 Page 632

Use the formula for the volume of a rectangular prism.

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.
V=l wh
154=l w (11)
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Solve for l w
14 = l w
l w = 14
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.