The volume of this right prism is 266.5 ft³. What is the height, x, of the prism?

Write and use a formula like we did in class. Enter your answer as a decimal in the box.

Question

The volume of this right prism is 266.5 ft³. What is the height, x, of the prism?

Write and use a formula like we did in class.  Enter your answer as a decimal in the box.

chuckthedonut · Answer

@oliver69

OLIVER69 · Answer

Okay so this took me a while to figure to so I'm hoping it's correct. The answer is 8.2 Here's my work below:

(1/2)(5)|5 + 8|(x) = 266.5
32.5x = 266.5
x = 8.2 ft

The area of the trapezoid is equal to a+b divided by 2 times h. The volume of the right prism is equal to the height times the area of the base. (I really hope I could help)

chuckthedonut · Answer

@oliver69 wrote:

Okay so this took me a while to figure to so I'm hoping it's correct. The answer is 8.2 Here's my work below: (1/2)(5)|5 + 8|(x) = 266.5 32.5x = 266.5 x = 8.2 ft The area of the trapezoid is equal to a+b divided by 2 times h. The volume of the right prism is equal to the height times the area of the base. (I really hope I could help)

Thank you so much !! :D

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