Question

a triangular prism has a height of 8 centimeters (cm) and a volume of 216 cm³. what is the area, in cm², of the base of the prism? (the volume of a triangular prism is equal to bh, where b is the area of the base and h is the height of the prism.)

Explanation:

Step1: Recall volume formula

The volume formula of a triangular prism is $V = Bh$, where $V$ is volume, $B$ is base - area and $h$ is height.

Step2: Rearrange the formula to solve for $B$

We can rewrite the formula as $B=\frac{V}{h}$.

Step3: Substitute given values

Given $V = 216\ cm^{3}$ and $h = 8\ cm$, then $B=\frac{216}{8}$.

Step4: Calculate the value of $B$

$B = 27\ cm^{2}$.

Answer:

$27$