What is the volume of the cube if the perimeter of the square base of the cube is 20 cm?
Because a cube is composed of square sides, the edges of each
square will be the same length. Therefore if the perimeter of the
base is 20 cm, one side would be 5 cm. 4 sides on a square,
therefore 20cm/4 = 5 cm.
The formula to find the volume of a cube is length x width x
height. Like I stated previously, every edge on a cube has the same
length. Because of this the length of the cube is equal to the
width of the cube and the width of the cube is equal to the height
of the cube.
Therefore volume of the cube would equal 5cm x 5cm x 5cm, which
equals 125 cm.
Therefore the volume of a cube that has a perimeter of 20cm for
the square base is 125cm cubed.