Solved Examples on Volume of Cube
Example 1: If the volume of a cube is 216 cm3, what is the dimension of the cube?
Solution:
Given,
Volume of a cube, V = 216 cm3
Volume of cube = (side)3
V = (216) = (6)3
Therefore, side of cube is 6 cm
Example 2: How many 3 cm × 3 cm × 3 cm cube boxes can fit in a large 15 cm cube box?
Solution:
Volume of each box = (3 × 3 × 3) cm3 = 27 cm3
Volume of large cube box = (15 × 15 × 15) cm3 = 3375 cm3
Number of boxes(N) = (Volume of Large Cube) / (Volume of Small Cube)
N = 3375cm3 / 27cm3
N = 125 boxes
Thus, 125 boxes are required to fit in the large box.
Example 3: Volume of a cubic hard disk is 0.5 dm3. What are dimensions of disk?
Solution:
Volume of a Cube = a3
0.5 = a3
a = 3√0.5
a = 0.794 dm
Example 4: Calculate volume of a cube with a diagonal of 3 inches.
Solution:
Given,
Diagonal = 9 inch
Cube Volume = [√3 × (Diagonal)3] / 9
Volume(V) = √3×[(3)3/9]
V = √3 × 3
V = 1.732 × 3
V = 5.196 inches3
Example 5: Find edge of a cube whose volume is 1000 cm3
Solution:
Volume = 1000 cm3
Volume = a3
1000 = 103 = a3
a (edge) = 10 cm
Thus, edge of cube is 10 cm.
Example 6: Find volume of a cube of side 0.01 cm
Solution:
Given,
Edge (a) = 0.01 cm
Volume = a3
Volume(V) = (0.01)3
V = 0.000001 cm3
Thus, volume of cube is 10-6 cm3
Volume of a Cube
Volume of a Cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object. An object with a larger volume would occupy more space. The volume of the cube is calculated by multiplying the length, breadth, and height of the cube. For a cube the length, breadth, and height are equal. Thus, the volume of a cube is just a side cube.
In this article, we will understand the volume of a cube in detail along with the formula and solved examples in the following sections. Also, learn about the Surface area of the cube here.
Table of Content
- What is the Volume of a Cube?
- Volume of Cube Formula
- Volume of a Cube Equation
- Derivation of Volume of a Cube
- How to Find the Volume of a Cube?
- Surface Area of a Cube
- Volume of a Cube and Cuboid
- Examples of Volume of a Cube from Everyday Life
- Solved Examples on Volume of Cube
- Volume of a Cube Problems