How many 2-inch cubes would fit inside a right rectangular prism with a length of 2 inches, a width of 1⅖ inches, and a height of 3 inches?
First, we need to find the volume of the right rectangular prism using the formula:
Volume = length x width x height.
Plugging in the values, we get:
Volume = 2 inches x 1⅖ inches x 3 inches
Volume = 2 inches x 6/5 inches x 3 inches
Volume = 3.6 cubic inches
Next, we need to find how many 2-inch cubes can fit inside the prism. Since each cube has a volume of 2 cubic inches, we can divide the total volume of the prism by the volume of each cube to get the number of cubes that can fit.
Number of cubes = 3.6 cubic inches / 2 cubic inches
Number of cubes = 1.8 cubes.
Therefore, only 1 full 2-inch cube can fit inside the right rectangular prism with dimensions 2 inches x 1⅖ inches x 3 inches.