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? yes, the cube - shaped box has a volume of 1,000 cubic inches, which is equal to 1,000 cubic inches. yes, the cube - shaped box has a volume of 729 cubic inches, which is less than 1,000 cubic inches. no, the cube - shaped box has a volume of 729 cubic inches, which is less than 1,000 cubic inches. no, the cube - shaped box has a volume of 1,000 cubic inches, which is equal to 1,000 cubic inches.

Explanation:

Step1: Recall volume formula for cube

The volume formula for a cube is $V = s^3$, where $s$ is the side - length of the cube.

Step2: Substitute side - length value

Given $s = 9$ inches, then $V=9^3=9\times9\times9 = 729$ cubic inches.

Step3: Compare volumes

We want to fit 1000 1 - cubic - inch cubes (total volume 1000 cubic inches) into the box. Since $729<1000$, we cannot fit all 1000 cubes.

Answer:

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