Question

the volume of a right octagonal prism is 30 cubic feet. the area of the octagonal base is 8 square feet. what is the height of the prism? \boxed{} ft

Explanation:

Step1: Recall prism volume formula

The volume $V$ of a prism is given by $V = B \times h$, where $B$ is the base area and $h$ is the height.

Step2: Rearrange for height

Isolate $h$ by dividing both sides by $B$:
$h = \frac{V}{B}$

Step3: Substitute given values

Substitute $V=30$ and $B=8$:
$h = \frac{30}{8} = 3.75$

Answer:

3.75