Q:

A rectangular pyramid has a volume of 1,296 , a height of 24 in., and a base length of 6 in. What is the width of its base?9 in.18 in.3 in.27 in.

Accepted Solution

A:
The width of its base is 27 in.What is a rectangular pyramid?A rectangular pyramid is a pyramid, which has a rectangular-shaped base. If we look at the bottom view of this pyramid, it looks like a rectangle. Hence, the base has two parallel sides equal.Volume of a rectangular pyramid is (lwh)/3In the given question:Volume V = 1296h = 24l = 6[tex]1296=\frac{w\times 6\times 24}{3}\\ \\1296=48w\\\\w=\frac{1296}{48}\\\\w=27[/tex]Learn more about rectangular pyramid: