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Find the Smallest Number by Which the Following Number Must Be Multiplied to Obtain a Perfect Cube. 72 - CBSE Class 8 - Mathematics

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Question

Find the smallest number by which the following number must be multiplied to obtain a perfect cube.

72

Solution

72 = 2 × 2 × 2 × 3 × 3

Here, two 3s are left which are not in a triplet. To make 72 a cube, one more 3 is required.

Then, we obtain

72 × 3 = 2 × 2 × 2 × 3 × 3 × 3 = 216 is a perfect cube.

Hence, the smallest natural number by which 72 should be multiplied to make it a perfect cube is 3.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 7: Cubes and Cube Roots
Ex. 7.10 | Q: 2.3 | Page no. 114
Solution Find the Smallest Number by Which the Following Number Must Be Multiplied to Obtain a Perfect Cube. 72 Concept: Cubes - Smallest Multiple that is a Perfect Cube.
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