Chapter 8.CT, Problem 17CT

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Pascual is remodeling a house and plans a complete drywallfor one 8-foot-high room. Dimensions for the room (thefloor) are 12 ft. by 16 ft.a) To replace the drywall on the 4 walls and ceiling, howmany 4 ft by 8 ft sheets of drywall are needed?b) If the cost of the drywall and other materials runs$0.40 per ft2, what does Pascual spend for the drywalland materials? To determine a. To find: The number of 4 ft by 8 ft sheets of drywall are needed to replace the drywall on the 4 walls and ceiling. Explanation Given: Pascual is remodeling a house and plans a complete drywall for one 8-foot-high room. Dimensions for the room are 12 ft. by 16 ft. Formula: The lateral surface area A of 4 walls of a cuboid of length l breadth b and height h is given by A=2(lh+bh). From the given, l=12 ft, b=16 ft, and h=8 ft. Area of 4 sheets and the ceiling is, A=2lh+bh+lb To find the area, substitute l=12, b=16, and h=8 in A=2lh+bh To determine b. To find: The cost for the drywall and materials if the cost of the drywall and other materials runs$0.40 per ft2.

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