Question

Find the smallest number by which 200 must be multiplied so that the product is a perfect cube

Answer 1

Answer:

ANSWER IS  5...

Step-by-step explanation:

• To find the smallest number which gives perfect cube when multiplied by 200

• We have to find the smallest number which satisfies the given condition.

• Lets starts from one (1),

1 × 200 = 200 (not a perfect cube)

2 × 200 = 400 (not a perfect cube)

3 × 200 = 600 (not a perfect cube)

4 × 200 = 800 (not a perfect cube)

5 × 200 = 1000 (perfect cube)

10 × 10 × 10 = 1000

• A perfect cube is a one which contains the product of group of triples of same number.

• Here 1000 is a perfect cube which contains products of three same number 10.

• 5 satisfies the given condition.

• The smallest number which gives a perfect cube when multiplied by 200 is 5.