Solved Examples on Cube Formula
Example 1: Find the volume of a cube whose side is 5 cm.
Solution:
Given,
Side of Cube(s) = 5 cm
Volume of Cube(V) = s3 = s × s × s
V = (5)3 = 125 cm3
Thus, the volume of the cube is 125 cm3
Example 2: Find the surface area of the cube(TSA) whose side is 10 cm.
Solution:
Given,
Side of Cube(s) = 10 cm
TSA of Cube = 6s2
TSA = 6(10)2 = 6(100) cm2
TSA = 600 cm2
Thus, the total surface area of the cube is 600 cm2
Example 3: Find the body diagonal of the cube whose side is 27 m.
Solution:
Given,
Side of Cube(s) = 27 cm
Diagonal of Cube(d) = s𢆣
d = (27)𢆣
Thus, the diagonal of the cube is 27𢆣 m.
Surface Area of a Cube Formula
Cube Formulas as the name suggest are all the formulas of a cube to calculate its volume, surface areas and diagonal. A cube is a three-dimensional figure that has equal length, breadth, and height. It is a special case of cuboid and is widely observed in our daily life. The most common example of the cube is the Rubick’s Cube puzzle. A cube has various formulas but the important formulas of the cube are,
- Volume of Cube Formula = a3
- Surface Area of Cube Formula = 6a2
- Diagonal of Cube Formula = �
where “a” is the side of the cube and is measured in the unit of length.
In this article, we will learn about various cube formulas, their examples, and others in detail.