To find the surface area of the room, including the floor and ceiling, you need to calculate the surface area of each of the six faces of the room (four walls, floor, and ceiling) and then add them together.
The surface area of a rectangular prism is given by the formula: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
Surface area of the room = 2(20*15) + 2(20*9) + 2(15*9)
Surface area of the room = 2(300) + 2(180) + 2(135)
Surface area of the room = 600 + 360 + 270
Surface area of the room = 1230 square feet
So, the surface area of the room that you are going to paint, including the floor and ceiling, is 1230 square feet.
Applications of Surface Area of Prisms Practice Complete this assessment to review what you've learned. It will not count toward your grade. 3 of 53 of 5 Items Question For Monica’s 14th birthday, she wants to make over her bedroom. The first phase in the bedroom makeover is painting her room. If Monica’s room is 20 ft. long, 15 ft. wide, and 9 ft. high, find the surface area of the room that you are going to paint, including the floor and ceiling(1 point)
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