SOLUTION: What is the surface area of a house. With it being constructed of a rectangular prism and a rectangular pyramid. The base sides of the rectangular prism are all 12m while the heigh

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Question 1158971: What is the surface area of a house. With it being constructed of a rectangular prism and a rectangular pyramid. The base sides of the rectangular prism are all 12m while the height is 9m. The bases of the rectangular pyramid are also 12m while the height of the triangles are 10m. What is the surface area?
Answer by KMST(5428) About Me  (Show Source):
You can put this solution on YOUR website!
We 4 have rectangular outside walls, 9m high and 12m long along the ground.
wall surface = 4%289m%29%2812m%29=432m%5E2 .
The roof is made of 4 triangles of 10m height, whose bases rest on the four 12m-long walls.
The area of each triangle is
base%2Aheight%2F2%22=%22%2812m%29%2810m%29%2F2=60m%5E2.
The total roof surface area is 4%2A60m%5E2=240m%5E2
The total surface area of the outside of the house (walls plus roof) is
432m%5E2%2B240m%5E2=highlight%28672m%5E2%29 .

NOTE: That is not what a realtor would consider the surface area of the house.
The realtor would measure the surface area of all the floor surfaces in the house, to reflect the "living space".
With walls 10m high, this must definitely be a 3-story house, maybe even one with a partly below ground basement,
so there should be a lot of floor surface.
Even not counting a basement, and with a 2-story foyer and a 2-story family room,
a 3-story house with those dimensions would have over 400 square meters of useful floor space.