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Word Problem Exercises: Calculating Surface Areas

General Questions

The B&B Painting Co. is bidding on a job to paint the inside of an apartment building that has 4 units. Each unit is an efficiency apartment in the shape of a rectangular solid with a length of 20 feet and a width of 30 feet. The ceilings are 9 feet tall. Assuming that they do not have to paint the floor or ceiling, how many square feet of wall space is there that needs to be painted?

The paint that B&B painting will use has a cost of $25 per gallon and each gallon covers 200 ft2. How much paint will they need for two coats and how much will it cost?

Acme Manufacturing Co. is making jewelry boxes that are going to be chrome plated. Acme sends its boxes off to another company to do the plating who then charges Acme. The chrome plating costs $0.05 for every square centimeter covered in chrome. How much would it cost Acme to chrome plate a rectangular box with dimensions of 18 cm x 30 cm x 6 cm?

Shipping companies often use containers that are triangular solids to ship prints and other documents that are rolled so that the cylinders would not roll around in the truck. What is the surface area of a triangular prism container that would be needed to enclose a rolled document with a diameter of 10 cm and a length of 90 cm? Round your answer to the nearest tenth. Assume the triangular face is an equilateral triangle.

S Bay

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