Question
Cardboard to build a box 10 inches long , 9 inches wide and 7 inches high . If she purchases 500 square inches of cardboard how much will be left over ?
Answers
GPT 3.5
To calculate the total surface area of the box, you need to find the surface area of each side and add them together.
Surface area of the bottom of the box = length x width = 10 x 9 = 90 square inches
Surface area of the top of the box = length x width = 10 x 9 = 90 square inches
Surface area of the front of the box = width x height = 9 x 7 = 63 square inches
Surface area of the back of the box = width x height = 9 x 7 = 63 square inches
Surface area of the left side of the box = length x height = 10 x 7 = 70 square inches
Surface area of the right side of the box = length x height = 10 x 7 = 70 square inches
Total surface area = 90 + 90 + 63 + 63 + 70 + 70 = 446 square inches
Therefore, the total surface area of the box is 446 square inches. If she purchases 500 square inches of cardboard, then there will be 500 - 446 = 54 square inches left over.
Surface area of the bottom of the box = length x width = 10 x 9 = 90 square inches
Surface area of the top of the box = length x width = 10 x 9 = 90 square inches
Surface area of the front of the box = width x height = 9 x 7 = 63 square inches
Surface area of the back of the box = width x height = 9 x 7 = 63 square inches
Surface area of the left side of the box = length x height = 10 x 7 = 70 square inches
Surface area of the right side of the box = length x height = 10 x 7 = 70 square inches
Total surface area = 90 + 90 + 63 + 63 + 70 + 70 = 446 square inches
Therefore, the total surface area of the box is 446 square inches. If she purchases 500 square inches of cardboard, then there will be 500 - 446 = 54 square inches left over.