Question

I find 4heb diagram.

Answer 1

We are asked to find the volume of the given pyramid.

Recall that the volume of a pyramid is given by

`V=(1)/(3)\cdot B\cdot h`

Where B is the area of the base and h is the height of the pyramid.

As you can see from the figure, the base of the pyramid is rectangular

The length is 23 yd and the width is 14 yd of the rectangular base.

So, the area of the rectangular base is

`\begin{gathered} B=l\cdot w \\ B=23\cdot14 \\ B=322\: yd^2 \end{gathered}`

The height of the pyramid is 25 yd

So, the volume of the pyramid is

`\begin{gathered} V=(1)/(3)\cdot B\cdot h \\ V=(1)/(3)\cdot322\cdot25 \\ V=2683.3\: yd^3 \end{gathered}`

Therefore, the volume of the rectangular pyramid is 2683.3 cubic yards.

The type of pyramid is the rectangular pyramid.