Two pyramids are similar, so ratio of the corresponding sides are equal.
Determine the height of large pyramid.
[tex]\begin{gathered} \frac{h}{16}=\frac{20}{5} \\ h=4\cdot16 \\ =64 \end{gathered}[/tex]The formula for the volume of pyramid is,
[tex]V=\frac{1}{3}\cdot A\cdot h[/tex]Here, A is base area of pyramid.
Determine the volume of pyramid.
[tex]\begin{gathered} V=\frac{1}{3}\cdot(20\cdot20)\cdot64 \\ =8533.33 \\ \approx8533.3 \end{gathered}[/tex]So answer is V = 8533.3 inches cube.
