Volume of a cube
Given the length of one side, call it a, the volume of a cube can be found by using the following formula:
Volume of any cube = a
^{3} = a × a × a
Examples showing how to find the volume of a cube. Some of these examples are reallife examples.
Example #1:
Find the volume of a cube if the length of one side is 2 cm
Since a is equal to 2, volume of the cube = a
^{3} = 2
^{3}
Volume of the cube = 2 × 2 × 2
Volume of the cube = 4 × 2
Volume of the cube = 8 cm
^{3}
Example #2:
Find the volume if the length of one side is 3 cm
Since a is equal to 3, volume of the cube = a
^{3} = 3
^{3}
Volume of the cube = 3 × 3 × 3
Volume of the cube= 9 × 3
Volume of the cube = 27 cm
^{3}
Example #3:
Find the volume of a cube if the length of one side is 3/2 cm
Volume of the cube = (3/2)
^{3}
Volume of the cube = 3/2 × 3/2 × 3/2
Volume of the cube = (3 × 3 × 3)/(2 × 2 × 2)
Volume of the cube = 27/8 cm
^{3}
Volume of the cube = 3.375 cm
^{3}
Example #4:
Each edge of a Rubik's cube has a length of about 5.7 cm. What is the volume of the Rubik's cube?
Volume of the Rubik's cube = (5.7)
^{3}
Volume of the Rubik's cube = 5.7 × 5.7 × 5.7
Volume of the Rubik's cube = (32.49 × 5.7 = 185.193
Volume of the Rubik's cube = 185.193 cm
^{3}
Example #5:
What is the volume of an ice cube that is (3/4)
^{"} by (3/4)
^{"} by (3/4)
^{"} ?
Volume of the ice cube = (3/4)
^{3}
Volume of the ice cube = (3/4) × (3/4) × (3/4)
Volume of the ice cube = (3 × 3 × 3)/(4 × 4 × 4)
Volume of the ice cube = (27)/(64) in
^{3}
Volume of the ice cube = 0.4218.75 in
^{3}
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