Answer:
The volume of the container is 1584 inch³.
Step-by-step explanation:
The volume of a rectangular prism is:
[tex]\text{Volume}=\text{l}\times\text{w}\times\tect{h}[/tex]
It is provided that the container is made up of two rectangular prisms.
The dimensions are as follows:
- Prism 1: length of 14 inches, width of 6 inches, and height of 16 inches.
- Prism 2: length of 10 inches, width of 6 inches, and height of 4 inches.
Compute the volume of the rectangular prism 1 as follows:
[tex]\text{V_{1}}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}[/tex][tex]\text{V}_{1}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}[/tex]
[tex]=14\times 6\times 16\\=1344[/tex]
Compute the volume of the rectangular prism 2 as follows:
[tex]\text{V_{1}}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}[/tex][tex]\text{V}_{2}=\text{l}_{2}\times\text{w}_{2}\times\text{h}_{2}[/tex]
[tex]=10\times 6\times 4\\=240[/tex]
Then the volume of the container will be:
[tex]\text{Volume of container}=\text{V}_{1}+\text{V}_{2}[/tex]
[tex]=1344+240\\=1584[/tex]
Thus, the volume of the container is 1584 inch³.
