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

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1 answer

To find the surface area of the air conditioner, we need to calculate the area of each side and then add them up.

One way to visualize this is to create a net of the air conditioner, which is a 2D representation of the 3D object where all the sides are unfolded.

The net of the air conditioner would look like this:

Front and back sides (25'' x 17'') = 25'' * 17'' * 2 = 850 in^2
Top and bottom sides (23'' x 17'') = 23'' * 17'' * 2 = 782 in^2
Left and right sides (23'' x 25'') = 23'' * 25'' * 2 = 1150 in^2

Total surface area = 850 in^2 + 782 in^2 + 1150 in^2 = 2782 in^2

So, Keira will need 2782 square inches of shrink wrap to cover the air conditioner completely for the winter.