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# Find the Smallest Number by Which the Following Number Must Be Multiplied to Obtain a Perfect Cube. 675 - CBSE Class 8 - Mathematics

ConceptCubes Smallest Multiple that is a Perfect Cube

#### Question

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

675

#### Solution

675 = 3 × 3 × 3 × 5 × 5

Here, two 5s are left which are not in a triplet. To make 675 a cube, one more 5 is required.

Then, we obtain

675 × 5 = 3 × 3 × 3 × 5 × 5 × 5 = 3375 is a perfect cube.

Hence, the smallest natural number by which 675 should be multiplied to make it a perfect cube is 5.

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#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 7: Cubes and Cube Roots
Ex. 7.10 | Q: 2.4 | Page no. 114
Solution Find the Smallest Number by Which the Following Number Must Be Multiplied to Obtain a Perfect Cube. 675 Concept: Cubes - Smallest Multiple that is a Perfect Cube.
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