Final answer:
To find the volume of the second cube-shaped package, calculate the side length of the first cube and then use that to find the volume of the second cube.
Step-by-step explanation:
To find the volume of the second cube-shaped package, we first need to find the volume of the first cube-shaped package. The volume of the first package is given as 216 cubic feet. Since the sides of a cube are all equal, we can find the side length by taking the cube root of the volume: V = s^3. So, 216 = s^3. Taking the cube root of 216 gives us s = 6. This means that each side of the first cube is 6 feet long. Now, let's find the volume of the second cube-shaped package. We are told that the second package has half the side lengths of the first package. So, each side of the second cube is half of 6 feet, which is 3 feet. To find the volume of the second cube, we use the same formula: V = s^3. Substituting the side length of 3, we get V = 3^3 = 27. Therefore, the volume of the second package Loray sent in the mail is 27 cubic feet.