1 Answer

Sergey Podobry · Answer 1 · 2023-02-26T08:05:34+0000

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.

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