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Devin plans to build a wooden playhouse. The playhouse will be composed as a 0.75-m tall, 2.4-m wide, right square pyramid placed on top of a cube with base length of 2.4 m. Show all work and round to the nearest tenth. Part A: How much interior room will the playhouse provide? Part B: How many square meters of wood will the playhouse require to be built? Assume the inside of the playhouse will need 1 wooden piece for a floor and 1 wooden piece for a ceiling. There will be no wood placed where 1 face of the cube intersects the pyramid's base. Part C: Plastic shingles for the roof cost $4.59 per square meter, and are sold by the square meter. To the nearest cent, how much will it cost to apply shingles to the pyramid- shaped roof?

Devin plans to build a wooden playhouse. The playhouse will be composed as a 0.75-m tall, 2.4-m wide, right square pyramid placed on top of a cube with base length of 2.4 m. Show all work and round to the nearest tenth. Part A: How much interior room will the playhouse provide? Part B: How many square meters of wood will the playhouse require to be built? Assume the inside of the playhouse will need 1 wooden piece for a floor and 1 wooden piece for a ceiling. There will be no wood placed where 1 face of the cube intersects the pyramid's base. Part C: Plastic shingles for the roof cost $4.59 per square meter, and are sold by the square meter. To the nearest cent, how much will it cost to apply shingles to the pyramid- shaped roof?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 33E
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Use the following scenario for Parts A, B, and C. Devin plans to build a wooden playhouse. The playhouse will be composed as a 0.75-m tall, 2.4-m wide, right square pyramid placed on top of a cube with base length of 2.4 m. Show all work and round to the nearest tenth. Part A: How much interior room will the playhouse provide? Part B: How many square meters of wood will the playhouse require to be built? Assume the inside of the playhouse will need 1 wooden piece for a floor and 1 wooden piece for a ceiling. There will be no wood placed where 1 face of the cube intersects the pyramid's base. Part C: Plastic shingles for the roof cost $4.59 per square meter, and are sold by the square meter. To the nearest cent, how much will it cost to apply shingles to the pyramid- shaped roof?
Transcribed Image Text:Use the following scenario for Parts A, B, and C. Devin plans to build a wooden playhouse. The playhouse will be composed as a 0.75-m tall, 2.4-m wide, right square pyramid placed on top of a cube with base length of 2.4 m. Show all work and round to the nearest tenth. Part A: How much interior room will the playhouse provide? Part B: How many square meters of wood will the playhouse require to be built? Assume the inside of the playhouse will need 1 wooden piece for a floor and 1 wooden piece for a ceiling. There will be no wood placed where 1 face of the cube intersects the pyramid's base. Part C: Plastic shingles for the roof cost $4.59 per square meter, and are sold by the square meter. To the nearest cent, how much will it cost to apply shingles to the pyramid- shaped roof?
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