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Please help and show how you got the answer.-example-1
User Amrish
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Answer:

1.8 cans of paint are needed

Explanation:

A large statue has a volume of 135 m³ and an area of 81 m², while a small statue has a volume of 5 m³. You want to know the number of cans of paint required to paint the small statue, if each can covers 5 m².

Scale factor

The ratio of linear dimensions on the small statue to those on the large statue is the cube root of their volume ratio:

sf = ∛(5/135) = ∛(1/27) = 1/3

Area

The area of the small statue is the larger statue's area multiplied by the square of the scale factor:

smaller area = larger area × (sf)²

smaller area = (81 m²)(1/3)² = 9 m²

Paint

Each can of paint covers 5 m², so the number of cans required is ...

(9 m²)/(5 m²/can) = 1.8 cans

You will need 1.8 cans of paint to paint the small statue.

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Additional comment

If you must pay for whole cans of paint, you must buy 2 cans of paint.

User Yakshaver
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