Answer:
[tex]405 {cm}^{2} [/tex]
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
[tex]k = \frac{3}{2} = 1.5[/tex]
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
[tex]1.5^{2} \times 180 = 405 {cm}^{2} [/tex]
