The ratio of the corresponding linear measures of two similar cans of vegetables is 5 to 8. The smaller can has a surface area of 300 square centimeters. Find the surface area of the larger can.

The surface area would be 768 cm².

Area is a square measurement; therefore to find the ratio of the areas, we square the ratio of the linear measurements:

(5/8) ²=5²/8²=25/64

Now we set up a proportion to solve for the missing surface area:

25/64 = 300/x

Cross multiply:

25*x = 300*64

25x = 19200

Divide by 25:

25x/25 = 19200/25

x = 768