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?
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Answer:
1) Surface area is: [tex]A_{Prism}=276\: in^{2}[/tex]
2) Volume is: [tex]V_{Prism}=280\: in^{3}[/tex]
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.
[tex]A_{1}=10*22=220\: in^{2}[/tex]
Now, the area of the up surface is:
[tex]A_{up}=7*(14-10)=28 \: in^{2}[/tex]
The down surface is equal to the up one, so we total area of the prism will be:
[tex]A_{Prism}=A_{1}+A_{up}+A_{down}=220+28+28=276\: in^{2}[/tex]
2)
The volume of a prism is the product of length times width and times height.
[tex]V_{prism}=10*7*4=280\: in^{3}[/tex]
I hope it helps you!