Question

Find the volume of pyramid. the base is a rectangle.

Answer 1

Given the volume of a rectangular based pyramid as;

`V=(1)/(3)lbh\Rightarrow\begin{cases}l=\text{length} \\ b=\text{breadth} \\ h=\text{height}\end{cases}`

Given the following parameters

`\begin{gathered} l=9in \\ b=8in \\ h=7in \end{gathered}`

Substitute the above values in the volume formula

`\begin{gathered} V=(1)/(3)*9*8*7 \\ V=(504)/(3) \\ V=168in^3 \end{gathered}`

Hence, the volume of the pyramid with the rectangle base is 168 in³