Solution:
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
[tex](\frac{2}{3})^2 = \frac{4}{9}[/tex]
Therefore, area and above ratio is in proportion
[tex]\frac{4}{9} = \frac{180}{x}\\\\4x = 180 \times 9\\\\4x = 1620\\\\x = 405[/tex]
Thus surface area of the larger can is 405 square centimeter
