3 years ago

The volume of a pentagonal pyramid is 32 in. What is the volume if all of the

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Answer:

OD) 4000

Step-by-step explanation:

Volume of a pentagonal pyramid = Area of base x height

Since every dimension is multiplied by 5,

Area is multiplied by 5² and height by 5

So volume is multiplied by 5^3 = 125

The volume = 125 x 32 = 4000

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$\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{\textit{triangular base}}{\frac{1}{2}(14)(18)}\\[1em] h=30 \end{cases}\implies V=\cfrac{1}{3}\left( \cfrac{1}{2}(14)(18) \right)(30) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill V=1260~\hfill$

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