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Kiran is a carpenter. He designed this prism-s aped house for a client. The cost to build it will be $40 per square metre of surface area. The client wonders how much it would Fost to increase the depth from 2.5 m to 3.5 m.

Kiran is a carpenter. He designed this prism-s aped house for a client. The cost to build it will be $40 per square metre of surface area. The client wonders how much it would Fost to increase the depth from 2.5 m to 3.5 m.

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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3.6 m 40 m 30 m 4.0m 2.5 m 3. Kiran is a carpenter. He designed this prism-shaped tree house for a client. The cost to build it will be $40 per square metre of surface area. The client wonders how much it would cost to increase the depth from 2.5 m to 3.5 m. a) What is the surface area of the smaller tree house? 2(base area) + (perimeter)(depth) = 2(¹2)(________ m)(_________ m) + (_ _____ m)(____________ m) SA = = b) What is the surface area of the larger tree house? SA = 2(base area) + (perimeter)(depth) = = = 2(1½)(________ m)(________ m) + (____ m)( _________ m) c) What is the difference in the surface areas? d) How much would it cost to increase the depth? _/m²) = $_ (__________ m²)($__ It would cost to increase the depth.
Transcribed Image Text:3.6 m 40 m 30 m 4.0m 2.5 m 3. Kiran is a carpenter. He designed this prism-shaped tree house for a client. The cost to build it will be $40 per square metre of surface area. The client wonders how much it would cost to increase the depth from 2.5 m to 3.5 m. a) What is the surface area of the smaller tree house? 2(base area) + (perimeter)(depth) = 2(¹2)(________ m)(_________ m) + (_ _____ m)(____________ m) SA = = b) What is the surface area of the larger tree house? SA = 2(base area) + (perimeter)(depth) = = = 2(1½)(________ m)(________ m) + (____ m)( _________ m) c) What is the difference in the surface areas? d) How much would it cost to increase the depth? _/m²) = $_ (__________ m²)($__ It would cost to increase the depth.
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