Question

Find the volume of the specified solid. Use 3.14 as the approximate value of r, and round your answer to the nearest foot. A triangular pyramid with base area 17 square feet and height 8 ft

Answer 1

Solution:

Given:

$\begin{gathered} base\text{ area, }A=17ft^2 \\ height,h=8ft \end{gathered}$

The solid is a triangular pyramid.

The volume of a pyramid is given by;

$\begin{gathered} V=\frac{1}{3}\times base\text{ area}\times height \\ V=\frac{1}{3}Ah \end{gathered}$

Hence,

$\begin{gathered} V=\frac{1}{3}\times17\times8 \\ V=\frac{136}{3} \\ V=45.33 \\ \\ To\text{ the nearest foot,} \\ V=45ft \end{gathered}$

Therefore, the volume of the triangular pyramid to the nearest foot is 45 feet.