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Chapter 9: Problem 12

Use dimensional analysis to convert the quantity to the indicated unit. If necessary, round the answer to two decimal places. \(12 \mathrm{ft}\) to \(\mathrm{yd}\)

Short Answer

Expert verified
The equivalent of 12 feet in yards is 4 yards.

Step by step solution

01

Understand the problem

The objective is to convert a length of 12 feet into its equivalent value in yards, utilizing the conversion ratio of 1 yard = 3 feet.
02

Set up the conversion ratio

This step will involve setting up a fraction. In this example, 12 ft needs to be converted to yards. It's known that 1 yard is equal to 3 feet (1 yd = 3 ft). So, to convert the measurement, multiply 12 feet by the ratio of 1 yard/3 feet.
03

Perform the calculation

This calculation will convert the length in feet to yards by canceling out the units of feet (ft). To obtain the correct answer, calculate \(12 ft \times \frac{1 yd}{3 ft}\). After canceling out the 'ft' units, the result is in yards. Perform the multiplication and division to get the result.
04

Round off the answer

If the result obtained from the calculations has more than 2 decimal places, it needs to be rounded down to its closest two decimal places as instructed.

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Most popular questions from this chapter

In Exercises 19-30, use the following equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated. When necessary, round answers to two decimal places.$$\begin{aligned}16 \mathrm{oz} &=1 \mathrm{lb} \\\2000 \mathrm{lb} &=1 \mathrm{~T} \\\1 \mathrm{oz} & \approx 28 \mathrm{~g} \\\1 \mathrm{lb} & \approx 0.45 \mathrm{~kg} \\\1 \mathrm{~T} & \approx 0.9 \mathrm{t}\end{aligned}$$ \(36 \mathrm{oz}\) to \(\mathrm{lb}\)

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