Question

If a 2 x 6 board (which means the actual dimensions of the board are 1.5 in. x 5.5 in.) milled from the same wood (and therefore has the same density) weighs 3.2 lb, how long is the board?

Answer 1

18.5 in

Explanation:

Let x be the length of board.

Actual width of board,b=1.5 in

Height of board,h==5.5 in

Density of wood=0.021lb/cubic in

Weight of wood=3.2 lbs

We know that

Volume=
`(Mass)/(density)`

By using the formula

Volume of wood=
`(3.2)/(0.021)=152.38 in^3`

Volume of wood=
`\l* b* h`

Using the formula

`152.38=1.5* 5.5* x`

`x=(152.38)/(1.5* 5.5)=18.5in`

Hence, the length of board=18.5 in