How many 1/2-inch cubes would fit inside a right rectangular prism with a length of 2 inches, a width of 1 1/2 inches, and a height of 3 inches?
In this case, we need to calculate the volume of the right rectangular prism first.
Volume of a right rectangular prism = length x width x height
Volume = 2 inches x 1 1/2 inches x 3 inches
Volume = 9 cubic inches
Next, we need to calculate the volume of one 1/2-inch cube.
Volume of one 1/2-inch cube = 1/2 inch x 1/2 inch x 1/2 inch
Volume of one 1/2-inch cube = 1/8 cubic inch
Now, we can calculate how many 1/2-inch cubes would fit inside the right rectangular prism by dividing the volume of the prism by the volume of one 1/2-inch cube.
Number of 1/2-inch cubes = Volume of prism / Volume of one 1/2-inch cube
Number of 1/2-inch cubes = 9 cubic inches / 1/8 cubic inch
Number of 1/2-inch cubes = 72
Therefore, 72 1/2-inch cubes would fit inside the right rectangular prism.