Question

A hotel is in the shape of a square pyramid. Each side of the base is 183 meters long and the height is 110 meters. What is the hotel's volume?

Answer 1

Check the picture below.

`\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} B=\stackrel{183* 183}{33489}\\ h=110 \end{cases}\implies V=\cfrac{1}{3}(33489)(110)\implies V=1227930`

Answer 2

V =1127930 m^3

Explanation:

The volume is

V = 1/3 B h

where B is the area of the base

B = area of the square

B = 183*183 since it is a square

B = 33489

V = 1/3 *(33489) * 110

V =1127930 m^3