A trader stacks 1728 mango boxes into a cubical stack and 216 apple boxes into another cubical stack. Using prime factorisation, by how much does the edge of the mango stack exceed the edge of the apple stack?

Question

Accepted Answer

6. Mango edge = cube root 1728 = 12 (since 1728 = 2^6 x 3^3). Apple edge = cube root 216 = 6 (216 = 2^3 x 3^3). Difference = 12 - 6 = 6.

A trader stacks 1728 mango boxes into a cubical stack and 216 apple boxes into another cubical stack.
Using prime factorisation, by how much does the edge of the mango stack exceed the edge of the apple stack?

Step-by-Step Solution

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More Class 8 Cube Root by Prime Factorisation practice

A trader stacks 1728 mango boxes into a cubical stack and 216 apple boxes into another cubical stack.Using prime factorisation, by how much does the edge of the mango stack exceed the edge of the apple stack?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Cube Root by Prime Factorisation practice

A trader stacks 1728 mango boxes into a cubical stack and 216 apple boxes into another cubical stack.
Using prime factorisation, by how much does the edge of the mango stack exceed the edge of the apple stack?