Mary wants to make 6 cans like the one below. She is going to cut them from a sheet of metal. What is the total surface area for the 6 cans? Use 3.14 for π. Round your answer to the nearest tenth.

1 answer

To find the total surface area for the 6 cans, we first need to find the surface area of one can and then multiply it by 6.

The can shown in the picture is cylindrical. The formula for the surface area of a cylinder is:
SA = 2πr^2 + 2πrh

Given:
- The diameter of the can is 4 inches (so the radius is 2 inches)
- The height of the can is 6 inches

Surface area of one can:
SA = 2*3.14*(2^2) + 2*3.14*2*6
SA = 25.12 + 75.36
SA = 100.48 square inches

Total surface area for 6 cans:
Total SA = 6 * 100.48
Total SA = 602.88 square inches

Mary needs a total surface area of 602.9 square inches to make 6 cans.