Lauren made a large compost bin in her back yard. What is the volume of the compostbin?

Answer:
1365 ft^3
Explanation:
The compost bin can be thought of as being formed of two boxes.
The volume of the front box is
[tex](7ft)(21ft)(5ft)=735ft^3[/tex]And the volume of the box at the end is
[tex](3ft)((3+7)ft)(21ft)=630ft^3[/tex]Hence, the volume of the compost bin is the sum of the volumes above.
[tex]\begin{gathered} V=735ft^3+630ft^3 \\ V=1365ft^3 \end{gathered}[/tex]The volume of the compost bin is 1365ft^3.