Katie plans to paint four toy chests that have the given net. She will buy 10-oz cans of paint that cover 933 square inches each.
Answer the questions to find how many cans of paint Katie needs to paint all four toy chests.
1. What is the combined area of faces A and E? Show your work.
2. What is the combined area of faces B and D? Show your work.
3. What is the combined area of faces C and F? Show your work.
4. What is the surface area of all four chests Katie needs to paint? Show your work.
5. Each can of paint covers 933 square inches. How many cans does Katie need to buy to paint the toy chests? Show how you found your answer.
1. To find the combined area of faces A and E, we need to add the areas of both rectangles. The dimensions of face A are 27 inches by 16 inches, so its area is (27 * 16) = 432 square inches. The dimensions of face E are also 27 inches by 16 inches, so its area is (27 * 16) = 432 square inches. The combined area of faces A and E is (432 + 432) = <<432+432=864>>864 square inches.
2. To find the combined area of faces B and D, we need to add the areas of both rectangles. The dimensions of both face B and face D are 16 inches by 13 inches, so both areas are (16 * 13) = 208 square inches each. The combined area of faces B and D is (208 + 208) = <<208+208=416>>416 square inches.
3. To find the combined area of faces C and F, we need to add the areas of both rectangles. The dimensions of both face C and face F are 27 inches by 13 inches, so both areas are (27 * 13) = 351 square inches each. The combined area of faces C and F is (351 + 351) = <<351+351=702>>702 square inches.
4. The total surface area of one chest is the sum of the combined areas of all faces (found in the previous three questions). Total surface area of one chest = (864 + 416 + 702) = <<864+416+702=1982>>1982 square inches. Katie needs to paint four chests, so the total area she needs to paint is (1982 * 4) = <<1982*4=7928>>7928 square inches.
5. Katie needs to paint a total of 7928 square inches, and each can of paint covers 933 square inches. We can find the number of cans she needs by dividing the total area by the area covered per can: (7928 / 933) = 8.49 cans. Since Katie cannot buy a fraction of a can of paint, she needs to buy 9 cans to cover all four toy chests.