kgantt33 kgantt33
  • 09-04-2018
  • Mathematics
contestada

what is the surface area of the rectangular prism with the width 18 1/2 ft, 4 5/6 ft and 5 1/3 ft?

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iGreen
iGreen iGreen
  • 09-04-2018
Use the formula for the surface area of a rectangular prism:

[tex]\sf A=2(wl+hl+hw)[/tex]

Plug in what we know:

[tex]\sf A=2((18\dfrac{1}{2})(5\dfrac{1}{3})+(4\dfrac{5}{6})(5\dfrac{1}{3})+(4\dfrac{5}{6})(18\dfrac{1}{2}))[/tex]

Multiply:

[tex]\sf A=2((98\dfrac{2}{3})+(25\dfrac{7}{9})+(89\dfrac{5}{12}))[/tex]

Add:

[tex]\sf A=2(213\dfrac{31}{36})[/tex]

Multiply:

[tex]\boxed{\sf A=427\dfrac{13}{18}~ft^2}[/tex]
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