How does the volume of a square pyramid change if the base edge is multiplied by 6?

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asked Jun 23, 2024 56.3k views

2 votes

How does the volume of a square pyramid change if the base edge is multiplied by 6?

Mathematics
high-school

Eugene Mamin asked

by Eugene Mamin

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1 Answer

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$\textit{volume of a pyramid}\\\\ V=\cfrac{Lwh}{3} ~~ \begin{cases} L=\stackrel{base's}{length}\\ w=\stackrel{base's}{width}\\ h=height\\[-0.5em] \hrulefill\\ L=6L\\ w=6w \end{cases}\implies V=\cfrac{(6L)(6w)h}{3}\implies \stackrel{ \textit{36 times the volume} }{V=\cfrac{Lwh}{3}(36)}$