Seudónimo Seudónimo
  • 16-04-2017
  • Mathematics
contestada

A cube has a surface area of 486 square meters.

Find the volume of the cube.

Respuesta :

10HowardCh
10HowardCh 10HowardCh
  • 16-04-2017
486/6=81
Square root 81 = one side length = 9m
volume = 9^3 = 729
Answer Link
irspow
irspow irspow
  • 16-04-2017
The surface area of a cube is:

A=6s^2 so we can say:

s=√(A/6)=(A/6)^(1/2)

The volume of  a cube is:

V=s^3, using s found above we have:

V=(A/6)^(1/2)^3

V=(A/6)^(3/2), and A=486 so

V=(486/6)^(3/2)

V=81^(3/2)

V=729 m^3
Answer Link

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