Question

Woodsmith magazine gave instructions on how to build a pine cupboard. Lumber will be needed for two shelves 834 inches long, two base sides 1212 inches long, and two door stiles 2918 inches long. Your lumber comes in 6 foot lengths.
Required:
How many feet of lumber will you need?

Answer 1

Answer: 8.4 feet

Step-by-step explanation:

Given: Lumber required for each shelf = $8\dfrac{3}{4}\ inches$

For each base side = $12\dfrac12\ inches$

For each door stile = $29\dfrac18\ inches$

Total lumber required = $(2\times 8\dfrac34 + 2\times12\dfrac12+2\times29\dfrac18)\ \ in.$

$=(2\times\dfrac{35}{4}+2\times\dfrac{25}{2}+2\times\dfrac{233}{8})\ in\\\\= (\dfrac{35}{2}+25+\dfrac{233}{4})\ in.\\\\=\dfrac{403}{4}\ in. =\dfrac{403}{4}\times\dfrac1{12}\ feet \ \ \ \ [1 feet = 12 \ in.]\\\\\approx8.4\ feet$

Hence, we will need 8.4 feet lumber.