Volume What is the height of the prism? The volume of a right octagonal prism is 30 cubic feet. The area of the octagonal base is 8 square feet. B = 8 sq.ft What is the height o…

Question

asked Aug 10, 2021 43.4k views

2 Answers

Tinmac · Answer 1 · 2021-08-16T08:21:56+0000

Answer:

3.75 feet.

Explanation:

Given:

The volume of a right octagonal prism is 30 cubic feet.

The area of the octagonal base is 8 square feet.

Question asked:

What is the height of the prism ?

Solution:

As we know:

$Volume\ of \ octagonal-prism=base\ area* height$

$30=8* height\\ \\ By\ dividing\ both\ sides \ by\ 8\\ \\ (30)/(8) =(8)/(8) * height\\ \\ 3.75=height$

Therefore, height of the prism is 3.75 feet.