Find the volume of the right rectangular prism packed with 12 cubes. Each cube has an edge length of 12 inch. (1 point) Responses 12 cubic inches 12 cubic inches 32 cubic inches Start Fraction 3 over 2 End Fraction cubic inches 18 cubic inches Start Fraction 1 over 8 End Fraction cubic inches 5 cubic inches
The volume of a cube is obtained by cubing the length of one of its edges. Since each cube has an edge length of 12 inches, the volume of each cube is 12^3 = 1,728 cubic inches.
Since there are 12 cubes, the total volume of the right rectangular prism packed with these cubes is 1,728 * 12 = 20,736 cubic inches.
Therefore, the correct response is 20,736 cubic inches.
make it simpler
The volume of the right rectangular prism packed with 12 cubes, each with an edge length of 12 inches, is simply the volume of one cube multiplied by the number of cubes.
Volume of one cube = (12 inches)^3 = 1,728 cubic inches
Total volume = 1,728 cubic inches * 12 cubes = 20,736 cubic inches
So, the volume of the packed right rectangular prism is 20,736 cubic inches.