Question

The volume of a rectangular pyramid is 64 units^3 . If the length of the rectangular base measures 4 units and the width of the rectangular base measures 6 units, find the height of the pyramid.

Answer 1

Given the word problem, we can deduce the following information:

Volume of a rectangular pyramid=64 units^3

length of the rectangular base = 4 units

width of the rectangular base = 6 units

To determine the height of the pyramid, we use the formula as shown below:

`h=3(V)/(lw)`

where:

V= Volume of the rectangular pyramid

l=length of the rectangular base

w=width of the rectangular base

h=height of the pyramid

We plug in what we know:

`\begin{gathered} h=3(V)/(lw) \\ =3(64)/((4)(6)) \\ \text{Simplify} \\ =(192)/(24) \\ h=8\text{ units} \end{gathered}`

Therefore, the height of the pyramid is 8 units.