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The ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3. The smaller can has a surface area of 180 square

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The ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3. The smaller can has a surface area of 180 square

Question

The ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3. The smaller can has a surface area of 180 square centimeters. Find the surface area of the larger can.

## Answers ( )

The surface area of the larger can is 405 square centimeterSolution:The ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3

The smaller can has a surface area of 180 square centimeters

Let the surface area of larger can be “x”Area is a square measurement

Therefore to find the ratio of the areas, we need to square the ratio of the linear measurements

Therefore, area and above ratio is in proportion

Thus surface area of the larger can is 405 square centimeter