Keira is wrapping up her air conditioner for the winter. She needs to determine how much shrink wrap will cover the air conditioner completely. If the dimensions of the air conditioner are 23’’ x 25’’ x 17’’, what is its surface area in square inches? Use a net to help you calculate your answer.(1 point)
in2
To calculate the surface area of the air conditioner, we need to find the total surface area of all six sides.
The net of a rectangular prism is the unfolded version of the shape, showing all six faces. We can calculate the surface area by finding the area of each face and adding them together.
For a rectangular prism with dimensions 23'' x 25'' x 17'':
Top and bottom faces: 23'' * 25'' = 575 in² * 2 = 1150 in²
Front and back faces: 23'' * 17'' = 391 in² * 2 = 782 in²
Left and right faces: 25'' * 17'' = 425 in² * 2 = 850 in²
Total surface area = 1150 in² + 782 in² + 850 in²
Total surface area = 2782 in²
Therefore, the surface area of the air conditioner is 2782 square inches. This is the amount of shrink wrap needed to cover the air conditioner completely for the winter.