Given:
Dimensions are 7 ft by 5 ft by 8.5 ft
Contents weigh 0.21 pound
Contents worth $8.80 per pound
Find-: value of container contents.
Sol:
Volume is:
[tex]\begin{gathered} Volume\text{ = }7\times5\times8.5 \\ \\ =297.5 \end{gathered}[/tex]The formula of density is:
[tex]\text{ Density =}\frac{\text{ Mass}}{\text{ Volume}}[/tex]So,
[tex]\begin{gathered} 0.21=\frac{\text{ Weight of contents in container}}{\text{ Volume of container}} \\ \\ 0.21=\frac{\text{ Weight}}{297.5} \\ \\ 0.21\times297.5=\text{ Weight} \\ \\ \text{ Weight of contents in container = }62.475\text{ Pound} \end{gathered}[/tex]Now $8.80 per pound
For 62.475 pounds the value is:
[tex]\begin{gathered} =62.475\times8.80 \\ \\ =549.78 \end{gathered}[/tex]So the value of the container contents is 549.78