A rectangular prism has a volume of 60 cubic feet. if the length and the width double, and the height remains the same, what will the new volume equal?
Accepted Solution
A:
By definition, the volume of a rectangular prism is given by: V1 = (w) * (l) * (h) Where, w: width l: long h: height Substituting we have: 60 = (w) * (l) * (h) if the length and the width double, and the height remains the same, we have: V2 = (2w) * (2l) * (h) Rewriting: V2 = 4 * ((w) * (l) * (h)) V2 = 4 * V1 Substituting we have: V2 = 4 * (60) V2 = 240 cubic feet Answer: the new volume will be: V2 = 240 cubic feet