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.

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Quinn 4 weeks 2021-12-29T04:13:08+00:00 1 Answer 0 views 0

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    2021-12-29T04:14:23+00:00

    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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