Find the volume of the solid brow, composed of two pyramids connected by the same vertical square base

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03-05-2022
Mathematics

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Find the volume of the solid brow, composed of two pyramids connected by the same vertical square base

Sagot :

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jdoe0001 jdoe0001 · Answer 1 · 2022-05-03T19:49:45-04:00

Check the picture below.

so we can simply get the volume of each and sum them up.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} h=height\\ B=base's~area\\[-0.5em] \hrulefill\\ h=6\\ B=\stackrel{8\times 8}{64} \end{cases}\implies V=\cfrac{(64)(6)}{3}\implies V=128[/tex]

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} h=height\\ B=base's~area\\[-0.5em] \hrulefill\\ h=12\\ B=\stackrel{8\times 8}{64} \end{cases}\implies V=\cfrac{(64)(12)}{3}\implies V=256 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 128~~ + ~~256~~ = ~~384~\hfill[/tex]

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