Question

Solve these problems about lumber dimensions.

Answer 1

Answer :

(a) The dimensions in $cm\times cm\times m$ are, $3.81cm\times 8.89cm\times 2.4384m$

(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.

$1.50in\times 3.50in\times 8.00ft$

$\Rightarrow 1.50in\times (\frac{2.54cm}{1in})\times 3.50in\times (\frac{2.54cm}{1in})\times 8.00ft\times (\frac{0.3048m}{1feet})$

$\Rightarrow 3.81cm\times 8.89cm\times 2.4384m$

The dimensions in $cm\times cm\times m$ are, $3.81cm\times 8.89cm\times 2.4384m$

(b) The conversion used :

$1in=2.54cm$

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

$16.0in$

$\Rightarrow 16.0in\times (\frac{2.54cm}{1in})$

$\Rightarrow 40.64cm$

The distance in centimeters is, 40.64 cm