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.

Answer 1

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

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