Answer:
18.5 in
Step-by-step 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=[tex]\frac{Mass}{density}[/tex]
By using the formula
Volume of wood=[tex]\frac{3.2}{0.021}=152.38 in^3[/tex]
Volume of wood=[tex]\l\times b\times h[/tex]
Using the formula
[tex]152.38=1.5\times 5.5\times x[/tex]
[tex]x=\frac{152.38}{1.5\times 5.5}=18.5in[/tex]
Hence, the length of board=18.5 in
