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

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=(1)/(3)* base\text{ area}* height \\ V=(1)/(3)Ah \end{gathered}`

Hence,

`\begin{gathered} V=(1)/(3)*17*8 \\ V=(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.