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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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