Q85E
Question
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?
Step-by-Step Solution
Verifieda)The dimensions in cm × cm × m = 3.81cm × 8.89cm × 2.44m.
b) The distance in cm = 40.6cm
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
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.