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?(1 point) Responses 406 in.2 406 in. squared 54 in.2 54 in. squared 446 in.2 446 in. squared 426 in.2 426 in. squared
To find the total surface area of the box, we first find the surface area of each of the six sides:
1. Bottom: 10 inches x 9 inches = 90 square inches
2. Top: 10 inches x 9 inches = 90 square inches
3. Side 1: 10 inches x 7 inches = 70 square inches
4. Side 2: 10 inches x 7 inches = 70 square inches
5. Side 3: 9 inches x 7 inches = 63 square inches
6. Side 4: 9 inches x 7 inches = 63 square inches
Adding all the surface areas together: 90 + 90 + 70 + 70 + 63 + 63 = 446 square inches
Cherese has purchased 500 square inches of cardboard, so subtracting the surface area of the box leaves us with: 500 - 446 = 54 square inches
Therefore, Cherese will have 54 square inches of cardboard left over. The correct response is: 54 in.2