How many 12 -inch cubes would fit inside a right rectangular prism with a length of 2 inches, a width of 112 inches, and a height of 3 inches?
Since the right rectangular prism has a length of 2 inches, a width of 112 inches, and a height of 3 inches, the volume of the prism can be calculated as:
Volume = length x width x height
Volume = 2 inches x 112 inches x 3 inches
Volume = 672 cubic inches
To find out how many 12-inch cubes can fit inside this prism, we need to divide the volume of the prism by the volume of each cube:
Volume of one 12-inch cube = 12 inches x 12 inches x 12 inches
Volume of one 12-inch cube = 1,728 cubic inches
Number of 12-inch cubes = Volume of prism / Volume of one 12-inch cube
Number of 12-inch cubes = 672 cubic inches / 1,728 cubic inches
Number of 12-inch cubes ≈ 0.39
Therefore, approximately 0.39 (or 0, since it is a whole cube) 12-inch cubes can fit inside the right rectangular prism.