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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?​

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 class=

Sagot :

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!