Solved Examples on Squares and Cubes
Here are some solved examples below:
Example 1: Find the square of number 28.
Solution:
Given number: 28
To find it’s square, multiply it twice:
Square of 28= 28⨯28= 784
The final answer is 784.
Example 2: A square park is being constructed. The length of one side is 45 m. Find the area of the square park
Solution:
Given length: 45 m
Area of park = side2
⇒ Area of park = 452
⇒ Area of park = 45⨯45
⇒ Area of park = 2025 m2
The area of square park is 2025 m2.
Example 3: Find the square root of 144.
Solution:
Given that: 144
Square root of 144 = √144
⇒ Square root of 144 = 12, [because 12⨯12= 144]
Example 4: Determine a cube of 7.
Solution:
Given number: 7
cube of ‘7’ = 73
⇒ cube of ‘7’ = 7⨯7⨯7
⇒ cube of ‘7’ = 343
The cube of ‘7’ is ‘343’.
Example 5: Calculate the volume of a cube when its one edge is given 2 units
Solution:
Given edge: 2 units
Volume of cube = edge3
⇒ Volume of cube = 23
⇒ Volume of cube = 2⨯2⨯2
Volume of cube = 8 unit3
Squares and Cubes
Squares and Cubes are mathematical operations involving numbers that are essential in various areas of mathematics. Square of a number is obtained by multiplying the number by itself where as a cube of a number is obtained by multiplying the number by itself twice.
In this article, we will learn what is Square and Cube Number. We will also learn about Perfect Squares and Cube and Square and Cube charts 1 to 100.
Table of Content
- What is Square Number?
- What is Cube Number?
- Perfect Square and Cubes
- Squares and Cubes from 1 to 50
- Chart of Squares and Cubes 1 to 100
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