Question

What is the volume of the container below? 2 rectangular prisms. A rectangular prism has a length of 14 inches, width of 6 inches, and height of 16 inches. A rectangular prism has a length of 10 inches, width of 6 inches, and height of 4 inches. 576 inches cubed 1,080 inches cubed 1,584 inches cubed 1,920 inches cubed

PLEASE ANSWER FAST ITS MY CUMULATIVE EXAM

Answer 1

Explanation:

What is the volume of the container below?

2 rectangular prisms. A rectangular prism has a length of 14 inches, width of 6 inches, and height of 16 inches. A rectangular prism has a length of 10 inches, width of 6 inches, and height of 4 inches.

576 inches cubed

1,080 inches cubed

1,584 inches cubed

1,920 inches cubed

Answer 2

The volume of the container is 1584 inch³.

Explanation:

The volume of a rectangular prism is:

`\text{Volume}=\text{l}*\text{w}*\tect{h}`

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:

`\text{V_(1)}=\text{l}_(1)*\text{w}_(1)*\text{h}_(1)`
`\text{V}_(1)=\text{l}_(1)*\text{w}_(1)*\text{h}_(1)`

`=14* 6* 16\\=1344`

Compute the volume of the rectangular prism 2 as follows:

`\text{V_(1)}=\text{l}_(1)*\text{w}_(1)*\text{h}_(1)`
`\text{V}_(2)=\text{l}_(2)*\text{w}_(2)*\text{h}_(2)`

`=10* 6* 4\\=240`

Then the volume of the container will be:

`\text{Volume of container}=\text{V}_(1)+\text{V}_(2)`

`=1344+240\\=1584`

Thus, the volume of the container is 1584 inch³.