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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 鈥淭wo-by-four鈥� lumber must be converted into metric units. The thickness 脳 width 脳 length dimensions are 1.50 in. 脳 3.50 in. 脳 8.00 ft in the US. What are the dimensions in cm 脳 cm 脳 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 脳 cm 脳 m = 3.81cm 脳 8.89cm 脳 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脳cm 脳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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