Question

1. circle each value that is a perfect cube. 27 1,000 90 1 300 72 525 216

Explanation:

Step1: Recall perfect - cube definition

A perfect cube is a number that can be written as $n^3$ where $n$ is an integer.

Step2: Check 27

$3^3=3\times3\times3 = 27$, so 27 is a perfect cube.

Step3: Check 1000

$10^3=10\times10\times10 = 1000$, so 1000 is a perfect cube.

Step4: Check 90

There is no integer $n$ such that $n^3 = 90$.

Step5: Check 1

$1^3=1\times1\times1 = 1$, so 1 is a perfect cube.

Step6: Check 300

There is no integer $n$ such that $n^3 = 300$.

Step7: Check 72

There is no integer $n$ such that $n^3 = 72$.

Step8: Check 525

There is no integer $n$ such that $n^3 = 525$.

Step9: Check 216

$6^3=6\times6\times6 = 216$, so 216 is a perfect cube.

Answer:

27, 1000, 1, 216