Question

The net of a rectangular prism is shown. 22 in. 10 in. 14 in. 4 in. 7 in. What is the surface area of the prism? square inches What is the volume of the prism?​

Answer 1

1) Surface area is:
`A_(Prism)=276\: in^(2)`

2) Volume is:
`V_(Prism)=280\: in^(3)`

Explanation:

1)

If we multiply 10 in times 22 in we could find the area of prims without the tops and down parts.

`A_(1)=10*22=220\: in^(2)`

Now, the area of the up surface is:

`A_(up)=7*(14-10)=28 \: in^(2)`

The down surface is equal to the up one, so we total area of the prism will be:

`A_(Prism)=A_(1)+A_(up)+A_(down)=220+28+28=276\: in^(2)`

2)

The volume of a prism is the product of length times width and times height.

`V_(prism)=10*7*4=280\: in^(3)`

I hope it helps you!