atemma
atemma atemma
  • 26-04-2020
  • Mathematics
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calculate the volume of a cube whose surface area is 54 dm 3​

Respuesta :

ranijah68 ranijah68
  • 26-04-2020
A cube has 6 faces, so the surface area of ONE face = 54/6 = 9

Each face of a cube is a square, so let's let x = the length of one side of that square

The area of a square = (side length)²

If the area of ONE face = 9, then we can write x² = 9, which means x = 3
So, each side of the cube has length 3

Volume of a cube = (side length)³ = (3)³ = 27

Answer:
27

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