Question

The volume of the prism below is 264 in3. what is the height of the prism

Answer 1

The volume of any prism = base area x height

Given Volume = 264 in^3

The prism is triangular based

Therefore, its base area = 1/2 x base x height

The base of the triangle= 8in

Height of the triangle = 6in

`\begin{gathered} \text{ Base area = }(1)/(2)\text{ x 8 x 6} \\ \text{Base area= 24in}^2 \end{gathered}`
`\begin{gathered} \text{ Recall, Volume = Base area x height} \\ H\text{eight = }\frac{\text{Volume}}{\text{Base area}} \\ \text{ Height=}(264in^3)/(24in^2) \\ \\ \text{Height}=11\text{ in} \end{gathered}`

The height of the prism is 11 in.