There are five perfect cubes between 1 and 100. State whether the statement is true or false.

Solution:

Given, there are five perfect cubes between 1 and 100.

We have to determine if the given statement is true or false.

Number obtained when a number is multiplied by itself three times is called a cube number.

If m = n³, then m is a perfect cube where m and n are natural numbers.

Cube of 1 = 1

Cube of 2 = 8

Cube of 3 = 27

Cube of 4 = 64

Cube of 5 = 125

Perfect cubes between 1 and 100 = 8, 27, 64

Number of cubes between 1 and 100 = 3

Therefore, there are three perfect cubes between 1 and 100.

✦ Try This: There are 2 perfect cubes between 50 and 100. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 60

There are five perfect cubes between 1 and 100. State whether the statement is true or false

Summary:

The given statement, ”There are five perfect cubes between 1 and 100” is false

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