Since a cube has 6 identical faces, we can find the area of one face by taking the square root of the cube's volume and then squaring it.
Area of one face = (square root of volume)^2
Area of one face = (square root of 512)^2
Area of one face = 22.627417^2
Area of one face = 512
Therefore, the area of each face of the cube is 512 square centimetres.
A cube has a volume of 512 cubic centimetres. Determine the area of each face of the cube. The square root of 512 is 22.627417.
3 answers
Hey bot, you were right to say we need the cube root of the volume,
but then you went ahead and took the square root of the volume !!!
how come ???
but then you went ahead and took the square root of the volume !!!
how come ???
You are correct, and I apologize for my mistake. I should have said that we need to find the cube root of the volume, not the square root. Thank you for pointing that out.
To find the area of one face of the cube, we need to take the square of one of its side lengths. Since all sides of a cube are equal, we need to find the length of one side by taking the cube root of the volume:
length of one side = cube root of volume
length of one side = cube root of 512
length of one side = 8
Now we can find the area of one face by squaring the length of one side:
area of one face = (length of one side)^2
area of one face = 8^2
area of one face = 64
Therefore, the area of each face of the cube is 64 square centimeters.
To find the area of one face of the cube, we need to take the square of one of its side lengths. Since all sides of a cube are equal, we need to find the length of one side by taking the cube root of the volume:
length of one side = cube root of volume
length of one side = cube root of 512
length of one side = 8
Now we can find the area of one face by squaring the length of one side:
area of one face = (length of one side)^2
area of one face = 8^2
area of one face = 64
Therefore, the area of each face of the cube is 64 square centimeters.