Solved Examples on Volume of Cube
Example 1: Find the volume of cube with side length 11 units.
Solution:
To find the volume of cube we use formula
Volume of cube = s3
Volume of cube = 113
Volume of cube = 1331 cubic units.
The volume of given cube is 1331 cubic units.
Example 2: Find the volume of the cube with diagonal 15 units.
Solution:
To find the volume of cube we use formula
Volume of cube = (D / √3)3
Volume of cube = (15 / √3)3
Volume of cube = (5√3)3
Volume of cube = 649.5 cubic units
The volume of given cube is 649.5 cubic units.
Example 3: Calculate the volume of cube given the area of cube is 24 square units.
Solution:
To find the volume of cube we use formula
Volume of cube = [√(A/6)]3
Volume of cube = [√(24/6)]3
Volume of cube = [√4]3
Volume of cube = 23
Volume of cube = 8 cubic units
The volume of given cube is 8 cubic units.
Example 4: Calculate the volume of cube if the cube is divided into 4 smaller cubes with volume 200 cubic units.
Solution:
To find the volume of cube we use formula
Volume of bigger cube = N × Vs
Volume of bigger cube = 4 × 200
Volume of bigger cube = 800 cubic units
The volume of given cube is 800 cubic units.
4 Ways to Calculate the Volume of a Cube
Volume of the cube is s3 as all sides of the cube are equal. In this article, we will learn four methods of calculating the volume of cube: using side, diagonal, area and volume of smaller cubes.
We will also discuss the basics of the cubes and the formula for the volume of a cube and solve some examples related to the volume of a cube.
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