2 root 2 cu ft: Surface area = 6 x face area, so face area = 2 so side is root 2...
Chat with our AI personalities
(A)^3/2
The surface area of a cube with a volume of 512 mm3 is: 384 square mm
Take the cube root of the volume to get the length of an edge. Square this number to get the area of a side, Multiply this by 6 to get the total surface area of the cube.
Provided the shape remains similar, the surface varies as the 2/3 power of the volume. Or, to put it another way, the cube root of the volume varies directly as the square root of the surface area. Or, the square of the volume is in direct proportion to the cube of the area.
The surface area and volume of a cube with an edge of 2 centimeters are:Surface area = 24 square cmVolume = 8 cubic cm