Question

Can you please help me out with a question

Answer 1

Two pyramids are similar, so ratio of the corresponding sides are equal.

Determine the height of large pyramid.

`\begin{gathered} (h)/(16)=(20)/(5) \\ h=4\cdot16 \\ =64 \end{gathered}`

The formula for the volume of pyramid is,

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

Here, A is base area of pyramid.

Determine the volume of pyramid.

`\begin{gathered} V=(1)/(3)\cdot(20\cdot20)\cdot64 \\ =8533.33 \\ \approx8533.3 \end{gathered}`

So answer is V = 8533.3 inches cube.