Question

1. maria has a cube - shaped box that measures 9 inches along each edge. can she fit 1,000 square - inch cubes inside the box? explain.

Explanation:

Step1: Calculate volume of the cube - shaped box

The volume \( V \) of a cube is given by the formula \( V = s^3 \), where \( s \) is the length of an edge. Here, \( s = 9 \) inches. So, \( V=9^3=9\times9\times9 = 729 \) cubic inches.

Step2: Compare the volume of the box with the number of 1 - cubic - inch cubes

We need to fit 1000 one - cubic - inch cubes. The volume of the box is 729 cubic inches, and \( 729<1000 \).

Answer:

No, Maria cannot fit 1000 one - cubic - inch cubes inside the box. Because the volume of the cube - shaped box with an edge length of 9 inches is \( 9^3 = 729 \) cubic inches, and \( 729<1000 \), so the box does not have enough space to hold 1000 one - cubic - inch cubes.