Calculate the volume of a regular pyramid if the area of the base and the altitude lenght are given.

asked Sep 8, 2023 9.6k views

2 votes

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5 votes

Solution:

Given regular pyramids;

The volume, V, of a regular pyramid is;

$\begin{gathered} V=(1)/(3)bh \\ \\ \text{ Where }b=area\text{ of base},h=height \end{gathered}$

(a)

$\begin{gathered} S_(ABCD)=9cm^2,SO=5cm \\ \\ V=(1)/(3)(9)(5)cm^3 \\ \\ V=15cm^3 \end{gathered}$

(b)

$\begin{gathered} S_(ABCDEF)=500mm^2,SO=3cm \\ \\ S_(ABCDEF)=50cm^2 \\ \\ V=(1)/(3)(50)(3)cm^3 \\ \\ V=50cm^3 \end{gathered}$

MLM answered Sep 13, 2023

by MLM

7.4k points

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