Cherese needs to buy some 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?
Responses
446 in.2
446 in.2
- no response given
426 in.2
426 in.2
- no response given
406 in.2
406 in.2
- no response given
54 in.2
54 in.2
- no response given
To find the surface area of the box, we need to calculate the area of each side and then sum them up.
- The top and bottom sides: 10 inches * 9 inches * 2 = 180 square inches
- The two side faces: 10 inches * 7 inches * 2 = 140 square inches
- The front and back faces: 9 inches * 7 inches * 2 = 126 square inches
Total surface area = 180 + 140 + 126 = 446 square inches
Since Cherese purchased 500 square inches of cardboard, the amount left over would be:
500 - 446 = 54 square inches
So, the correct response is:
54 in.2