To determine whether Maria can fit 1,000 1-cubic-inch cubes inside her cube-shaped box, we first need to calculate the volume of the box.
The volume \( V \) of a cube is given by the formula:
\[ V = \text{side length}^3 \]
Given that each edge of the box measures 9 inches, we can calculate the volume:
\[ V = 9^3 = 9 \times 9 \times 9 = 729 \text{ cubic inches} \]
Now, we compare the volume of the box with the total volume of the 1,000 cubes. Each 1-cubic-inch cube has a volume of 1 cubic inch, so 1,000 cubes have a total volume of:
\[ 1,000 \text{ cubic inches} \]
Since the volume of the box (729 cubic inches) is less than the total volume of the 1,000 cubes (1,000 cubic inches), Maria cannot fit all 1,000 cubes inside the box.
Therefore, the correct answer is:
No; the cube-shaped box has a volume of 729 cubic inches, which is less than 1,000 cubic inches.
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