Question

A triangular prism has a base area of 43 square meters and a volume of 645 cubic meters What is the height of the prism

Answer 1

Given:

a.) A triangular prism has a base area of 43 square meters.

b.) Its volume is 645 cubic meters.

Recall: Formula in getting the volume of a triangular prism.

$\text{ Volume = }BH$

Where,

B = Base area of the prism.

H = Height of the prism.

Let's now determine the area of the prism:

$\text{ Volume = BH}$$\begin{gathered} \text{ 645 = (43)H} \\ \text{ }\frac{\text{645}}{43}\text{ = H} \\ 15\text{ = H} \end{gathered}$

Therefore, the height of the prism is 15 meters.