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

Answer:

The volume of the container is 1584 inch³.

Step-by-step explanation:

The volume of a rectangular prism is:

$\text{Volume}=\text{l}\times\text{w}\times\tect{h}$

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}\times\text{w}_{1}\times\text{h}_{1}$$\text{V}_{1}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}$

    $=14\times 6\times 16\\=1344$

Compute the volume of the rectangular prism 2 as follows:

$\text{V_{1}}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}$$\text{V}_{2}=\text{l}_{2}\times\text{w}_{2}\times\text{h}_{2}$

    $=10\times 6\times 4\\=240$

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.