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Chapter 9: Problem 9

Use dimensional analysis to convert the quantity to the indicated unit. If necessary, round the answer to two decimal places. \(6 \mathrm{yd}\) to \(\mathrm{ft}\)

Short Answer

Expert verified
The result of the conversion is \(18 ft\).

Step by step solution

01

Identify the conversion factor

The conversion factor from yards to feet is known. 1 yard is equal to 3 feet. So, the conversion factor is \(\frac{3 ft}{1 yd}\).
02

Set up the conversion

Now, set up the conversion. This is done by multiplying the given quantity by the conversion factor. Here, the given quantity is \(6 yd\), so the equation becomes: \(6 yd \times \frac{3 ft}{1 yd}\). Note, the \(yd\) in the numerator and denominator will cancel each other out, leaving the result in feet.
03

Do the Math

Finally, do the multiplication: \(6 \times 3 = 18\). Therefore, \(6 yd\) is equivalent to \(18 ft\).

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