bobbi0215
bobbi0215 bobbi0215
  • 14-01-2021
  • Mathematics
contestada

if the cube above has a surface area of 54cm^3, what is the volume of the cube?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 15-01-2021

9514 1404 393

Answer:

  27 cm³

Step-by-step explanation:

The surface area of a cube is ...

  SA = 6s²

Then the edge length is ...

  54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area

  9 cm² = s² . . . . . .divide by 6

  3 cm = s . . . . . . . take the square root

The volume of a cube is ...

  V = s³

  V = (3 cm)³ = 27 cm³

The volume of the cube is 27 cm³.

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