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Chapter 1: Q85E (page 9)

Question: Solve these problems about lumber dimensions.

a) TO describe to a European how houses are constructed in the US, the dimensions of “Two-by-four” lumber must be converted into metric units. The thickness × width × length dimensions are 1.50 in. × 3.50 in. × 8.00 ft in the US. What are the dimensions in cm × cm × m?

b) This lumber can be used as vertical studs, which are typically placed 16.0 in. Apart. What is that distance in centimetres?

Short Answer

Expert verified

a)The dimensions in cm × cm × m = 3.81cm × 8.89cm × 2.44m.

b) The distance in cm = 40.6cm

Step by step solution

01

Determine the conversion used in the first answer given above

1 in = 2.54 cm

1 feet = 0.3048 m

Now we have to determine the thickness, width, and length dimensions in cm×cm ×m

\(\begin{array}{l} = 1.50in \times 3.50in \times 8.00ft\\ = 1.50in \times \left( {\frac{{2.54cm}}{{1in}}} \right) \times 3.50in \times \left( {\frac{{2.54cm}}{{1in}}} \right) \times 8.00ft \times \left( {\frac{{2.54cm}}{{1in}}} \right)\\ = 3.81cm \times 8.89cm \times 2.4384m\end{array}\)

Rounding off to 3 significant figures, the dimensions will be = 3.81 cm x 8.89 cm x 2.44 cm

02

Determine the conversion used in above 2nd answer.

We all know that,

1 in = 2.54 cm

16.0 in,

\(\begin{array}{c} = 16.0in \times \left( {\frac{{2.54cm}}{{1in}}} \right)\\ = 40.64cm\end{array}\)

So, the distance is 40.64 cm.

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Most popular questions from this chapter

As we drive an automobile, we don't think about the chemicals consumed and produced. Prepare a list of the principal chemicals consumed and produced during the operation of an automobile.

How many significant figures are contained in each of the following measurements?

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(f) 0.17 g/mL

(g) 0.88400 s

Complete the following conversions between SI units.

(a) 612 g = ________ mg

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(c) 3779 μg = ________ g

(d) 781 mL = ________ L

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(f) 27.8 m = ________ km

(g) 0.13 mL = ________ L

(h) 1738 km = ________ m

(i) 1.9 Gg = ________ g

The following quantities were reported on the labels of commercial products. Determine the number of significant figures in each.

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Considering that mass and volume are intensive properties, explain why their ratio, density is intensive.
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