Unit 1 - Redan High School



Name: ________________________________________________ Date: _______________________

Area and Volume Problems with Dimensional Analysis

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|Conversions Factors |

|1 kg = 2.2 lbs |1 gal = 3.79 L |264.2 gal = 1 cubic meter |

|1 mi = 5,280 ft |1 kg = 1000 g |1 lb = 16 oz |

|1 L = 1000 mL |1 mL = 1 cm3 |2.54 cm = 1 in |

|0.621 mi = 1.00 km |1 yd = 36 inches |1 cc is 1 cm3 |

Solve each problem using dimensional analysis. Be sure that every number has a unit and units should be consistent before you try to find the area or volume.

1. A contractor wants to order concrete for a wall that is 24 feet long, 10 feet high, and 9 inches thick. How many cubic yards should he order?

2. The Recommended Daily Amount (RDA) for vitamin C is 60 mg per day. There are 70 mg of vitamin C per 100 grams of orange. How many 3 ounce oranges would you have to eat each week to meet the RDA?

3. If one guppy requires 5 liters of water to live happily, what is the maximum number of guppies that should be kept in this aquarium?

4. A soft drink can has a diameter of 6 cm and a height of 115 mm.

a. What is its volume in cm?

b. What is its surface area in cm?

5. A lawn roller is 1 meter wide and 80 cm high. What area is covered in each revolution in meters?

6. A classroom has the following dimensions: 3.2 meters high, 1,030 cm long, and 29.86 ft wide.

a. Find the area of the floor in meters.

b. Find the volume of the room in meters.

c. Find the total area of the four walls in meters.

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