A cross section of the prism shown is parallel to a base. The area of the cross section is 78.5 square feet. The ratio of AB to BC is 5:4. The length of AB is 10 feet. Find the volume of the prism.

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Mathematics

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16 July, 09:43

A cross section of the prism shown is parallel to a base. The area of the cross section is 78.5 square feet. The ratio of AB to BC is 5:4. The length of AB is 10 feet. Find the volume of the prism.

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Kemp · Answer 1

Given:

Area of cross section = 78.5 ft²

Ratio of AB to BC = 5 : 4

AB=10 ft

To find BC, we get

5/4=10/BC

5BC=40

BC=8 ft

Now formula for volume of prism:

V=Area of base x height

Put values

V=78.5 x (10+8)

V=78.5 x 18

V=1413 ft²

Answer: 1413 ft²