Answer:
1. C
2. C
3. 48 in
4. C
Step-by-step explanation:
1. A perfect square is a number that can be expressed as n * n, where n is an integer. A perfect cube is a number that can be expressed as n * n * n, where n is an integer again. The three given numbers suffice both properties, hence the answer is C.
2. The volume is 9 * 9 * 9 = 729 cubic inches. We want to fit 1000 cubic inches in the box, so not everything wil fit as 729 < 1000.
3. The side lengths of the square, s, may be solved by s^2 = 144, which gives s = 12. So the perimeter is 4s = 48.
4. The area of the square is 64 square inches, so each of the side lengths measures sqrt(64) = 8 inches.
