Question

maria has a cube - shaped box that measures 9 inches along each edge. can she fit 1,000 1 - cubic - inch cubes inside the box? o yes, the cube - shaped box has a volume of 1,000 cubic inches, which is equal to 1,000 cubic inches. o yes, the cube - shaped box has a volume of 729 cubic inches, which is less than 1,000 cubic inches. o no, the cube - shaped box has a volume of 729 cubic inches, which is less than 1,000 cubic inches. o no, the cube - shaped box has a volume of 1,000 cubic inches, which is equal to 1,000 cubic inches.

Explanation:

Step1: Calculate volume of cube - shaped box

The volume $V$ of a cube is given by $V = s^3$, where $s$ is the side - length. Here, $s = 9$ inches, so $V=9^3=9\times9\times9 = 729$ cubic inches.

Step2: Compare with number of 1 - cubic - inch cubes

We want to fit 1000 1 - cubic - inch cubes. Since $729<1000$, we cannot fit 1000 1 - cubic - inch cubes in the box.

Answer:

No, the cube - shaped box has a volume of 729 cubic inches, which is less than 1,000 cubic inches.