Dimensional Analysis

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Dimensional Analysis

Formative Assessment

Algebra I

Name

Date

Solve. Show the dimensional analysis needed to make each conversion.

2.2 lb = 1 kg 1 gal = 3.785 liter 1 liter = 1000 cm

3

28.3 g = 1 ounce

1 mile = 5280 feet 2.54 cm = 1 in 1.609 km = 1 mile

Level 1

1.

How many kilograms does a 175 pound person weigh?

2.

Cross country skis are 210 cm long. What is their length in inches?

3.

In Europe gasoline is sold by the liter. Assume that it takes 14 gallons of gasoline to fill the tank of a compact car. How many liters of gasoline will it take?

4.

How many ounces are in a 37 g Kellog's Nutri Grain Bar?

Level 2

1.

The average heart rate is 72 heart beats per minute. What is the average number of heart beats per year?

2.

A runner competed in a 5-mile run. How many yards did she run?

3.

How many minutes are in 1 year?

4.

How many meters are in the 440-yard dash?

Level 3

1.

Convert 25 m/s to miles/hr.

2.

Traveling at 65 miles/hour, how many feet can you travel in 22 minutes?

3.

Traveling at 60 miles/hour, how many minutes will it take to drive 125 miles to San Diego?

4.

A Canadian vacationing in the States pays $1.689 a gallon for gasoline. What would be the equivalent price at home? (Gasoline is sold by the liter in Canada, as in most countries.)

(Assume a conversion rate of 1.03 Canadian dollars to one US dollar.)

Level 4

1.

An Olympic-sized soccer field has an area of 0.007776 km

2

. How many square meters does a soccer field cover?

2.

The displacement of an engine is often measured in liters or in cubic inches. Suppose that a compact car has a 1.8 L engine. What is the displacement of this engine in cubic inches?

3.

A basement for a 30 ft by 40 ft house is to be dug at a depth of 7 feet. How many cubic yards of earth need to be hauled away? Assume that the surface of the ground is level. Round your answer to the nearest cubic yard.

4.

Water is pouring into a plastic box 1 m by 1 m by .3 m at the rate of 125 mL per minute. How long will it take in hours to fill this box?

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