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Chapter 2: Problem 174

A company wants 800 square feet of carpet, but the carpet store sells only by the square meter. How many square meters does the company need to buy? \((1 \mathrm{~m}=39.37\) in. \()\)

Short Answer

Expert verified
The company needs to buy approximately 74.32 square meters of carpet.

Step by step solution

01

Convert 1 foot to meters

We know that 1 ft = 12 in. Let's convert it to meters using the given conversion factor 1 m = 39.37 in. \[1\ \text{foot} = \frac{12 \text{ inches}}{1 \text{ foot}} \times \frac{1 \text{ meter}}{39.37 \text{ inches}}=\frac{12}{39.37}\ \text{meters}\]
02

Calculate the conversion factor for square feet to square meters

We have found the conversion factor for feet to meters. Now, let's find the conversion factor for square feet to square meters. Make sure to square the conversion factor. \[\left(\frac{12}{39.37} \ \text{meters}\right)^2 = \frac{144}{(39.37)^2} \ \text{square meters}\]
03

Convert 800 square feet to square meters

Now, we can use the conversion factor to convert 800 square feet to square meters. \[800 \ \text{square feet} \times \frac{144}{(39.37)^2} \ \text{square meters} \approx 74.32 \ \text{square meters}\] So, the company needs to buy approximately 74.32 square meters of carpet.

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Most popular questions from this chapter

Without doing any numerical calculations, determine which would have the smallest volume: (a) \(50 \mathrm{~g}\) of water (density \(=1.0 \mathrm{~g} / \mathrm{mL}\) ) (b) \(50 \mathrm{~g}\) of salt water (density \(=2.3 \mathrm{~g} / \mathrm{mL}\) ) (c) \(50 \mathrm{~g}\) of mercury (density \(=13.6 \mathrm{~g} / \mathrm{mL}\) ) (d) \(50 \mathrm{~g}\) of alcohol (density \(=0.89 \mathrm{~g} / \mathrm{mL}\) ) Explain your reasoning.

Convert: (a) \(2.37 \times 10^{2} \mathrm{~L}\) to milliliter (b) \(800 \mathrm{~kg}\) to grams (c) \(0.592 \mathrm{~mm}\) to meters (d) \(8.31 \mathrm{~g}\) to kilograms (e) \(9.62 \times 10^{-6} \mathrm{~L}\) to microliters (f) \(8000 \mathrm{~m}\) to kilometers (g) \(19.3 \mathrm{mg}\) to grams (h) \(0.00345 \mathrm{~mL}\) to liters

Express each mass in grams, both in standard notation and in scientific notation: (a) \(536 \mathrm{mg}\) (b) \(8.26 \mathrm{dg}\) (c) \(0.0057 \mu \mathrm{g}\) (d) \(139 \mathrm{~kg}\) (e) \(836 \mathrm{ng}\) (f) \(0.073 \mathrm{Mg}\)

A physician has ordered \(325 \mathrm{mg}\) of atropine to be given to a patient intramuscularly. If atropine were available as a solution that contained \(5000 \mu\) \(\mathrm{g} / \mathrm{mL}\), how many milliliters would you need to give the patient?

Write each number in scientific notation, taking all trailing zeros to be nonsignificant: (a) 502,000 (b) \(0.000038402\) (c) \(436,000,000\) (d) 8470 (e) \(0.00591\) (f) \(0.658\)
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