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Chapter 9: Problem 5

Use dimensional analysis to convert the quantity to the indicated unit. If necessary, round the answer to two decimal places. 6 in. to \(y d\)

Short Answer

Expert verified
The result of converting 6 inches to yards, rounded to two decimal places, is \(0.17 yd\)

Step by step solution

01

Understand the conversion factor

The first step is to understand the conversion factor. This is how many of the unit you have are in the unit you want to convert to. For inches to yards, the conversion factor is 1 yard = 36 inches.
02

Set up conversion

Next, set up the conversion from inches to yards using the conversion factor. This is done by multiplying the quantity you have (6 inches) by the conversion factor, with the unit you want to get rid of (inches) in the denominator. 6 in * \(\frac{1 yd}{36 in}\)
03

Performing the conversion

Now, perform the multiplication. The inches cancels out, and you鈥檙e left with the quantity in yards. \(6 * \frac{1}{36} yd = 0.1666666667 yd\)
04

Rounding the Result

Finally, round the result to two decimal places, as instructed in the problem statement. This gives \(0.17 yd\).

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Most popular questions from this chapter

Describe the difference between the following problems: How much fencing is needed to enclose a garden? How much fertilizer is needed for the garden?

Use the following English and metric equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated.English and Metric Equivalents$$\begin{aligned}&1 \text { in. }=2.54 \mathrm{~cm} \\\&1 \mathrm{ft}=30.48 \mathrm{~cm} \\\&1 \mathrm{yd} \approx 0.9 \mathrm{~m} \\\&1 \mathrm{mi} \approx 1.6 \mathrm{~km}\end{aligned}$$ \(776 \mathrm{~km}\) to \(\mathrm{mi}\)

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