Shyla covered a box with fabric. The dimensions of the box are shown in the figure below 7 inches 11”8 inches the fabric cost seven cents per square inch. She will only pay for the fabric used to cover the box even if there is waste or extra how much money did Shayla spend on the fabric?
First, we need to calculate the total surface area of the box that needs to be covered with fabric.
The box has 6 sides, each with different dimensions:
- 2 sides: 7 inches by 8 inches = 56 square inches each
- 2 sides: 7 inches by 11 inches = 77 square inches each
- 2 sides: 8 inches by 11 inches = 88 square inches each
Total surface area = 2(56) + 2(77) + 2(88) = 112 + 154 + 176 = 442 square inches
Now we can calculate the total cost of the fabric by multiplying the total surface area by the cost per square inch:
Total cost = 442 square inches * $0.07 = $30.94
Therefore, Shyla spent $30.94 on the fabric to cover the box.