which number is a perfect cube?\n21\n49\n343\n600

Explanation:

Step1: Recall the definition of perfect - cube

A perfect cube is a number that can be written as the cube of an integer, i.e., if (n = m^3), where (m) is an integer, then (n) is a perfect cube.

Step2: Check each option

For (21), we find (\sqrt[3]{21}\approx2.76), not an integer. For (49), (\sqrt[3]{49}\approx3.66), not an integer. For (343), since (7\times7\times7 = 7^3=343), it is a perfect cube. For (600), (\sqrt[3]{600}\approx8.43), not an integer.

Answer:

343