The surface area of this cube is 216 square meters. What is the volume?

Answer 1

Surface Area of a Cube = 6a² where a is the length of each Edge of the cube.

Surface Area in this item is 216.

216 = 6a²

36 = a² Divide both sides by 6

± 6 = a Square root both sides

6 = a The length of the edge cannot be negative.

Volume of a Cube = a³ where a is the length of each Edge of the cube.

For this item we calculated the edge, a, to be equal to 6.

Volume = 6³ (Six cubed or Six to the third power)

Volume = 6 * 6 * 6 (Six times six times six) (PEMDAS or Order of Operations)

V= 36 * 6

V = 216

Answer 2

The surface area of a cube is 6 times the square of the side, in this case then the side is 6.

The volume of a cube is the cube of the side, in this case 216.