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) in^2
The numbers to use: 3in, 6in, (there are four 6's) 8in, (there are two 8's)
To calculate the surface area of the air conditioner, we need to calculate the area of each of its six sides and then add them all together.
Using the dimensions given:
- The two longest sides (23'' x 25'') will each have an area of 23'' * 25'' = 575 square inches (two of these)
- The two sides with the dimensions (23'' x 17'') will each have an area of 23'' * 17'' = 391 square inches (two of these)
- The top and bottom sides with the dimensions (25'' x 17'') will each have an area of 25'' * 17'' = 425 square inches (two of these)
Adding all sides together:
2(575) + 2(391) + 2(425) = 1150 + 782 + 850 = 2782 square inches
So, the surface area of the air conditioner is 2782 square inches.
wrong
I apologize for the error. Let's correct it using the dimensions provided to determine the surface area of the air conditioner.
First, we need to calculate the area of each side of the air conditioner.
Side 1 (23'' x 25''): 23'' * 25'' = 575 square inches
Side 2 (23'' x 25''): 23'' * 25'' = 575 square inches
Side 3 (23'' x 17''): 23'' * 17'' = 391 square inches
Side 4 (23'' x 17''): 23'' * 17'' = 391 square inches
Side 5 (25'' x 17''): 25'' * 17'' = 425 square inches
Side 6 (25'' x 17''): 25'' * 17'' = 425 square inches
Now we add up the areas of all sides:
575 + 575 + 391 + 391 + 425 + 425 = 2782 square inches
So, the correct surface area of the air conditioner is 2782 square inches. Thank you for your patience.