Exam 13: Combined Operations

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How many sheets of 4' * 8' drywall are required to make 15 pieces that are 31/2' * 41/2'?

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15 sheets -- only one piece can be cut from each piece of drywall

Which is larger in area -- a triangle with a height of 30" and a base of 15" or a circle with a diameter of 9"?

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Area of triangle = 1/2 * 30" * 15" = 225 sq. inches Area of circle = 3.1416 * 92 = 254.46 sq. inches Area of circle is larger than the area of the triangle

What is the difference in area between a square with sides measuring 16.0" and a circle with a diameter of 16.5"?

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Square = 16" * 16" = 256 sq. inches Circle = 3.1416 * 8.25" * 8.25" = 213.82 sq. inches Square has an area that is 42.18 sq. inches larger than the circle

An electrician needs to make 3 conduit runs from one side of a warehouse to the opposite side of the building. If each run is 138' long, how much will be spent on conduit if it comes in 10' lengths and costs $2.81 for each piece?

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Which is larger -- the perimeter of a 2' * 4' rectangle or the circumference of a circle with a diameter of 36"?

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The difference in area between a circle with a 20" radius and a circle with a 30" diameter is ____________________.

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Assuming the center of the first 2" * 4" stud is placed at the end of the bottom plate, how many studs are required for a 22' wall if the studs are placed 16" on center?

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A carpenter needs to make 45 right triangles that have a height of 48" and a base measuring 48". How many 4' * 8' sheets of plywood are required for this job?

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If employee A worked 6.5 hours a day for 7 days, employee B worked 9 hours a day for 6 days, and employee C worked 8.5 hours a day for 8 days, the total hours worked is ____________________ hours.

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How much money would be left of $500.00 after purchasing a battery drill for $149.95, a set of drill bits for $29.99, and a circular saw for $129.86?

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Very often one of the steps to solving a combined-operations problem will be to get all of the known measurements into the same __________.

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Name the two keys to solving a combined-operations problem.

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