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 x width x Length dimensions are 1.50 in. x 3.50 in. x8.00 ft in the US. What are the dimensions in cm x cm xm?
(b) This lumber can be used as vertical studs, Which are typically placed 16.0 in. a part. What is that distance in centimeters?

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Alleei Alleei · Answer 1 · 2019-08-19T11:29:42+02:00

Answer :

(a) The dimensions in [tex]cm\times cm\times m[/tex] are, [tex]3.81cm\times 8.89cm\times 2.4384m[/tex]

(b) The distance in centimeters is, 40.64 cm

Explanation :

(a) The conversion used :

[tex]1in=2.54cm[/tex]

and,

[tex]1feet=0.3048m[/tex]

As we are given the thickness, width, length dimensions in inches, inches and feet respectively.

Now we have to determine the thickness, width, length dimensions in centimeter, centimeter and meter respectively.

[tex]1.50in\times 3.50in\times 8.00ft[/tex]

[tex]\Rightarrow 1.50in\times (\frac{2.54cm}{1in})\times 3.50in\times (\frac{2.54cm}{1in})\times 8.00ft\times (\frac{0.3048m}{1feet})[/tex]

[tex]\Rightarrow 3.81cm\times 8.89cm\times 2.4384m[/tex]

The dimensions in [tex]cm\times cm\times m[/tex] are, [tex]3.81cm\times 8.89cm\times 2.4384m[/tex]

(b) The conversion used :

[tex]1in=2.54cm[/tex]

As we are given the distance in inches. Now we have to determine the distance in centimeter.

[tex]16.0in[/tex]

[tex]\Rightarrow 16.0in\times (\frac{2.54cm}{1in})[/tex]

[tex]\Rightarrow 40.64cm[/tex]

The distance in centimeters is, 40.64 cm