To find the lateral surface area of the shop, we need to calculate the area of each face that is not a base.
The height of the shop is 16 feet and the width is 10 feet. Therefore, there are two faces with an area of 16 * 10 = 160 square feet each.
The length of the shop is 20 feet and the height is 16 feet. Therefore, there are two faces with an area of 20 * 16 = 320 square feet each.
The width of the shop is 10 feet and the length is 20 feet. Therefore, there are two faces with an area of 10 * 20 = 200 square feet each.
The total lateral surface area is 160 + 160 + 320 + 320 + 200 + 200 = 1,360 square feet.
However, the question asks for the lateral surface area including the doors. We don't know the dimensions of the doors, so we cannot calculate their areas. Therefore, we cannot determine the exact lateral surface area including the doors.
Therefore, the answer is indeterminate.
Micah is going to paint his woodworking shop. The shop is a rectangular prism. The dimensions of the shop are shown in the diagram.
Including the doors, what is the lateral surface area of the shop in square feet?
Responses
A 676.24 ft2676.24 ft 2
B 213.3 ft2213.3 ft 2
C 426.6 ft2426.6 ft 2
D 1,123.38 ft21,123.38 ft 2
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