ANSWER
The volume of the container is
[tex]1253 \: in ^{3} [/tex]
EXPLANATION
The container is a composite figure made up of two cuboids or rectangular prisms.
We need to find the volume of each figure and add to get the container.
The formula for finding the volume of a cuboid is
[tex]Volume =l \times b \times h[/tex]
The volume of the bigger container is
[tex]Volume =11 \times 14 \times 7[/tex]
[tex]Volume =1078 \: {in}^{3} [/tex]
The volume of the smaller container is,
[tex]Volume =7 \times 5 \times 5[/tex]
[tex]Volume =175 \: {in}^{3} [/tex]
The volume of the complete container is
[tex]Volume =1078 + 175 = 1253 \: {in}^{3} [/tex]
