In order to find the lateral surface area of the rectangular prism, we need to find the area of all four sides.
The dimensions of the shop are 10 feet wide, 7 feet high, and 20 feet long.
The front and back sides have dimensions 10 ft x 7 ft, so their combined area is 10 ft x 7 ft x 2 = 140 square feet.
The left and right sides have dimensions 20 ft x 7 ft, so their combined area is 20 ft x 7 ft x 2 = 280 square feet.
Adding the areas of all four sides, we get a lateral surface area of 140 square feet + 280 square feet = <<140+280=420>>420 square feet.
Therefore, the lateral surface area of the shop, including the doors, is 420 square feet.
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?
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