Find the volume of a triangular prism with the following dimensions. Round to the nearest whole number.

Triangle base - 9ft

triangle height - 4ft

prism height-9.5ft


A.23ft

B86ft

C.171 ft

D.342 ft

Help

Verified Answer :

The volume of any prism is just the area of the base times the height of the prism.

The base of the prism is a triangle, and you should know how to find the area of a triangle already. The base is 9, the height is 4, \(\frac{bh}2=\frac{9*4}2=\frac{36}2=\boxed{18\ ft^2}\).

Multiply that by the height of 9.5 and we get \(18\ ft^2*9.5\ ft=\boxed{\boxed{171\ ft^3}}\)

V= l x w x h

V= 9 x 4 x 9.5

342 ft = Volume D. 342 ft

Hope this helps

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