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?
In order to find out how many 12-inch cubes can fit inside the right rectangular prism, we need to calculate the volume of the prism and then divide it by the volume of one 12-inch cube.
The volume of the prism can be calculated using the formula:
Volume = length x width x height
Volume = 2 inches x 112 inches x 3 inches = 672 cubic inches
The volume of one 12-inch cube is:
Volume = side x side x side
Volume = 12 inches x 12 inches x 12 inches = 1728 cubic inches
To find out how many 12-inch cubes can fit inside the prism, we divide the volume of the prism by the volume of one cube:
672 cubic inches / 1728 cubic inches = 0.3888
Therefore, approximately 0.3888 or 0 cubes can fit inside the right rectangular prism with the given dimensions.