Question

1. circle each value that is a perfect cube.

Explanation:

Step1: Recall perfect - cube definition

A perfect cube is a number that can be written as the cube of an integer. Let \(n\) be an integer, and a perfect cube is of the form \(n^3\).

Step2: Check each number

• For \(1000\), since \(10^3=10\times10\times10 = 1000\), it is a perfect cube.
• For \(9\), since \(2^3 = 8\) and \(3^3=27\), \(9\) is not a perfect cube.
• For \(1\), since \(1^3=1\times1\times1 = 1\), it is a perfect cube.
• For \(300\), we know that \(6^3=216\) and \(7^3 = 343\), so \(300\) is not a perfect cube.
• For \(72\), we know that \(4^3=64\) and \(5^3 = 125\), so \(72\) is not a perfect cube.
• For \(525\), we know that \(7^3=343\) and \(8^3 = 512\) and \(9^3=729\), so \(525\) is not a perfect cube.
• For \(216\), since \(6^3=6\times6\times6 = 216\), it is a perfect cube.

Answer:

1000, 1, 216