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 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?

Answer 1

(a) The dimensions in
`cm* cm* m` are,
`3.81cm* 8.89cm* 2.4384m`

(b) The distance in centimeters is, 40.64 cm

Explanation :

(a) The conversion used :

`1in=2.54cm`

and,

`1feet=0.3048m`

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.

`1.50in* 3.50in* 8.00ft`

`\Rightarrow 1.50in* ((2.54cm)/(1in))* 3.50in* ((2.54cm)/(1in))* 8.00ft* ((0.3048m)/(1feet))`

`\Rightarrow 3.81cm* 8.89cm* 2.4384m`

The dimensions in
`cm* cm* m` are,
`3.81cm* 8.89cm* 2.4384m`

(b) The conversion used :

`1in=2.54cm`

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

`16.0in`

`\Rightarrow 16.0in* ((2.54cm)/(1in))`

`\Rightarrow 40.64cm`

The distance in centimeters is, 40.64 cm