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lina2011 [118]
3 years ago
6

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

f 180 square centimeters. Find the surface area of the larger can.
Mathematics
1 answer:
Shalnov [3]3 years ago
7 0

Answer:

405 {cm}^{2}

Step-by-step explanation:

We have that, the ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3.

We want to find the area of the larger can, if the smaller can has a surface area of 180 square centimeters.

We know the scale factor is

k =  \frac{3}{2}  = 1.5

To find the surface area of the larger can, we multiply the square of the scale factor by 180.

This implies that, the surface area of the larger can is

1.5^{2}  \times 180 = 405 {cm}^{2}

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