Question

Hey!

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?


Explain your answer, please?


{Full Explanation required. Answer choices are given. Therefore, the correct answer will consider awarding "BRAINLIEST"! NO "SPAM"/"NON-SENSE ANSWERS"/ or "COPY/ PLAGIARISM".}


Please show your work!


Thanks!

Answer 1

Answer:

3 feet

Step-by-step explanation:

$2(1 + \sqrt{2}) {a}^{2}h = V \\ \\ 2 + 2 \sqrt{2}(2 \sqrt{2})h = 30 \\ \\ 10h = 30 \\ \\ h = 3$

I can help whenever I can.

Answer 2

Step-by-step explanation:

volume is equal to the area multiplied by height so 30/8 = 3.75