Question

an oblique prism has a volume of 144 cubic units. the area of its base is 24 square units. what is the perpendicular height of the prism? 2 units 4 units 6 units 8 units

Explanation:

Step1: Recall volume formula

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

Step2: Solve for height

We know $V = 144$ and $B = 24$. Rearranging the formula $h=\frac{V}{B}$. Substitute the values: $h=\frac{144}{24}$.

Step3: Calculate the result

$\frac{144}{24}=6$.

Answer:

C. 6 units