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the length of a rectangular prism is 8
height : 1
surface area:250

what is volume and width


Sagot :

Surface area is:

[tex]W=width[/tex]
[tex]L=length[/tex]
[tex]H=height[/tex]

[tex]S=2*(L*W+L*H+W*H)[/tex]

replacing the values

[tex]250=2*(8*W+8*1+W*1)[/tex]

[tex]250=2*(8*W+8+W)[/tex]

[tex]250=2*(9*W+8)[/tex]

dived each member by 2

[tex]125=9W+8[/tex]

[tex]9W=125-8[/tex]

[tex]9W=117[/tex]

[tex]\boxed{\boxed{W=13~unit~of~measure}}[/tex]

The volume of a rectangular prism is

[tex]V=L*H*W[/tex]

[tex]V=8*1*13[/tex]

[tex]\boxed{\boxed{V=104~unit~of~volume}}[/tex]