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

Explanation:

Given: Lumber required for each shelf =
`8(3)/(4)\ inches`

For each base side =
`12\frac12\ inches`

For each door stile =
`29\frac18\ inches`

Total lumber required =
`(2* 8\frac34 + 2*12\frac12+2*29\frac18)\ \ in.`

`=(2*(35)/(4)+2*(25)/(2)+2*(233)/(8))\ in\\\\= ((35)/(2)+25+(233)/(4))\ in.\\\\=(403)/(4)\ in. =(403)/(4)*\frac1{12}\ feet \ \ \ \ [1 feet = 12 \ in.]\\\\\approx8.4\ feet`

Hence, we will need 8.4 feet lumber.