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

Answer:

1) Surface area is: $A_{Prism}=276\: in^{2}$

2) Volume is: $V_{Prism}=280\: in^{3}$

Step-by-step 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!