Final answer:
The volume of the right rectangular prism, which is packed with smaller cubes, is calculated by multiplying the number of cubes along each dimension by the side length of each cube. Since we have 5 cubes along the length, 3 along the width, and 6 along the height, each with a side length of 2 inches, the volume is 720 cubic inches.
Step-by-step explanation:
The student is asking about the volume of a right rectangular prism, which is filled with smaller cubes of a known side length. To find the volume of the prism, we must multiply the side lengths of the prism, which correspond to the number of cubes along each dimension multiplied by the side length of each cube.
Since we have 5 cubes along the length, 3 cubes along the width, and 6 cubes along the height, with each cube having a side length of 2 inches, we calculate the volume like this:
- Length of the prism = 5 cubes × 2 inches/cube = 10 inches
- Width of the prism = 3 cubes × 2 inches/cube = 6 inches
- Height of the prism = 6 cubes × 2 inches/cube = 12 inches
The volume of the prism = length × width × height = 10 inches × 6 inches × 12 inches = 720 cubic inches.