Question

Identify the following solids. Then find the volumemy answer was wrong : Solid: Triangular prismVolume: 2,861.75I need to know the right answer. on some of the wrong answers, there was a note You need to look at the base of the shape. Although volume is V=Bh sometimes the B is 1/2bh or b x h. Apply the correct formula to solve for the volume.I am not sure if it applies here?

Answer 1

The figure is a triangular prism

The volume of a triangular prism is:

$\begin{gathered} V=\text{base area}\times height \\ \text{height of the prism = 25ft} \end{gathered}$

The base is a triangle, hence the base area is:

$\begin{gathered} \frac{1}{2}\times base\times height \\ =\frac{1}{2}\times12\times20=120ft^2 \end{gathered}$

Hence, the volume of the triangular prism is:

$120ft^2\times25ft=3000ft^3$

The Volume is 3,000 ft^3