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 that $V = 144$ cubic units and $B = 24$ square units. Rearranging the formula $V = Bh$ for $h$, we get $h=\frac{V}{B}$. Substituting the given values: $h=\frac{144}{24}=6$ units.

Answer:

C. 6 units