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MatroZZZ [7]
1 year ago
13

A square pyramid has a volume of 82 cubic meters. The square base has a side length of 7 meters. What is the height?

Mathematics
1 answer:
kvv77 [185]1 year ago
6 0

Check the picture below.

\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{7\times 7}{49}\\ V=82 \end{cases}\implies \begin{array}{llll} 82=\cfrac{49h}{3}\implies 246=49h\implies \cfrac{246}{49}=h \\\\\\ 5.02\approx h \end{array}

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