3 years ago

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

Mathematics

1 answer:

Colt1911 [192]3 years ago

3 0

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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