363 × 81 is a perfect cube. State whether the statement is true or false.

Solution:

Given, 363 × 81 is a perfect cube.

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

Using prime factorisation,

So, 363 = 11 × 11 × 3

81 = 3 × 3 × 3 × 3

Now, 363 × 81 = 11 × 11 × 3 × 3 × 3 × 3 × 3

We observe that 11 × 11 × 3 occur without pairs.

Therefore, 363 × 81 is not a perfect cube.

✦ Try This: 729 × 64 is a perfect cube. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 82

363 × 81 is a perfect cube. State whether the statement is true or false

Summary:

The given statement,”363 × 81 is a perfect cube” is false.

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