An artist creates a right prism whose base are regular pentagons. He wants to paints the lateral surfaces of the prism. One can of paint can cover 30 ft2. How many cans of paints must he buy if buy if the height of the prism is 15 ft and the length of the pentagon is 5 ft?

Question

Mathematics

Virginia

29 January, 01:42

An artist creates a right prism whose base are regular pentagons. He wants to paints the lateral surfaces of the prism. One can of paint can cover 30 ft2. How many cans of paints must he buy if buy if the height of the prism is 15 ft and the length of the pentagon is 5 ft?

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Baron Blevins · Answer 1

He needs 13 cans of paint.

The lateral area is given by the area of 5 rectangles, whose dimensions are 15 by 5:

5 (15) (5) = 375

Divide this by 30:

375/30 = 12.5 ≈ 13