anonymous
  • anonymous
The surface area of a cube is 864 in2. What is the area of one face of this cube?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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rishavraj
  • rishavraj
surface area of cube = 6a^2 so \[6 a^2 = 864\] once u get the side length i.e "a" u can calculate the area of one face
anonymous
  • anonymous
@jim_thompson5910
anonymous
  • anonymous
what 6*6*6=216 not 864

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anonymous
  • anonymous
i dont get it
rishavraj
  • rishavraj
see the surface area of a cube with side length "a" = \[6 a^2\] the given surface area is 864 so \[6 a^2 = 864\]
anonymous
  • anonymous
so 6 is the ans
wil476003
  • wil476003
No ur over thinking it you just have to divide 864 by 6 so the answer is 144
anonymous
  • anonymous
o ok
mathstudent55
  • mathstudent55
A cube is made up of 6 faces. You are given the total surface ares of the 6 faces. You want the surface area of one single face. This is a one-step problem involving only one operation.
rishavraj
  • rishavraj
no no .....once u solve tht ....i mean get the side length |dw:1435892850326:dw|
anonymous
  • anonymous
so 12??
wil476003
  • wil476003
No
rishavraj
  • rishavraj
now u r havmg the sidelength .... so the area of one side = a^2 so the answer is (12)^2 = 144
anonymous
  • anonymous
ok thanks
wil476003
  • wil476003
The answer is still 144 he just used more steps
mathstudent55
  • mathstudent55
@rishavraj Why bother getting the side, when the answer is simply the area of one face? \(A_{total} = 6s^2\) \(A_{one~face} = \dfrac{A_{total}}{6} = \dfrac{864~in.^2}{6} = 144~in.^2 \)
rishavraj
  • rishavraj
@mathstudent55 oo yeah my bad.....

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