To find the lateral surface area of the shop, we need to calculate the area of all the sides of the rectangular prism except for the top and bottom.
From the diagram, we can see that the length of the rectangular prism is 10 ft, the width is 8 ft, and the height is 6 ft.
The lateral surface area is equal to the sum of the areas of the four sides.
The area of the longer sides is 10 ft * 6 ft = 60 ft² (x2 because there are two longer sides).
The area of the shorter sides is 8 ft * 6 ft = 48 ft² (x2 because there are two shorter sides).
Therefore, the total lateral surface area is 60 ft² + 60 ft² + 48 ft² + 48 ft² = 216 ft².
Including the doors, the lateral surface area of the shop is 216 ft².
Therefore, the correct answer is B) 213.3 ft².
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
1 answer