A distance of 112 furlongs is equivalent to how many feet? (1 \text{ furlong} = 220 \text{ yards} \text{ and } 1 \text{ yard} = 3 \text{ feet})

A. 73,920. The correct answer is 73,920. It's given that 1 furlong = 220 yards and 1 yard = 3 feet. It follows that a distance of 112 furlongs is equivalent to (112 \text{ furlongs}) \left(\frac{220 \text{ yards}}{1 \text{ furlong}}\right) \left(\frac{3 \text{ feet}}{1 \text{ yard}}\right), or 73,920 feet.

SAT Math skill page

SAT Unit Conversions Practice

Track units like labels so conversions, rates, and proportions stay organized.

Practice unit conversions in Dolphin SAT Practice questions

10-16 min practice time3 questions on pageProblem Solving and Data Analysis

Practice time10-16 min

Question bank3 questions

Best forProblem Solving and Data Analysis

What this tests

What to know for this SAT skill

Convert between units using multiplication factors
Use rates in word problems
Set up proportions with matching units
Avoid mixing units in the same equation

Dolphin question bank

Practice your skill

Question 1 of 3Medium

A distance of 112 furlongs is equivalent to how many feet? (1 furlong = 220 yards and 1 yard = 3 feet)

73,920
74,000
75,000
76,000

Show answer and solution

Correct answerA. 73,920

Solution walkthrough

The correct answer is 73,920.
It's given that 1 furlong = 220 yards and 1 yard = 3 feet.
It follows that a distance of 112 furlongs is equivalent to ( $112 furlongs) (\frac{220 yards}{1 furlong}) (\frac{3 feet}{1 yard})$ , or 73,920 feet.

Question 2 of 3Medium

How many fluid ounces are equivalent to 76 quarts? (8 fluid ounces = 1 cup and 4 cups = 1 quart)

1,216
2,432
3,648
4,864

Show answer and solution

Correct answerB. 2,432

Solution walkthrough

The correct answer is 2,432.
It's given that 4 cups = 1 quart.
It follows that 76 quarts is equivalent to $76 \times \frac{4 cups}{1 quart}$ , or 304 cups. It's also given that 8 fluid ounces = 1 cup. It follows that 304 cups is equivalent to $304 \times \frac{8 fluid ounces}{1 cup}$ , or 2,432 fluid ounces.

Question 3 of 3Medium

A competition consisted of four different events. One participant completed the first event with an average speed of 20.300 miles per hour. What was this average speed, in yards per hour? (1 mile = 1,760 yards)

35,728
36,000
34,500
37,000

Show answer and solution

Correct answerA. 35,728

Solution walkthrough

The correct answer is 35,728.
It's given that 1 mile = 1,760 yards.
It follows that an average speed of 20.300 miles per hour is equivalent to $(\frac{20.300 miles}{1 hour}) (\frac{1 , 760 yards}{1 mile})$ , or 35,728 yards per hour.

Avoid these traps

Common mistakes on this skill

Turning the conversion factor upside down

Arrange the factor so the unwanted unit cancels and the desired unit remains.

Converting only part of a compound unit

Rates such as miles per hour contain numerator and denominator units that may both need conversion.

Study plan

How to practice this skill in Dolphin

Write the starting value together with its unit.
Multiply by conversion factors arranged to cancel unwanted units.
Confirm that the final unit and approximate magnitude make sense.

Practice unit conversions in Dolphin SAT

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FAQ

Questions about SAT Unit Conversions Practice

Why does dimensional analysis work?

Each conversion factor equals 1 because its numerator and denominator represent the same quantity in different units.

How do squared units convert?

Square the entire length conversion factor; for example, one square foot equals 144 square inches.