how many 1/2 inches 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
Since the dimensions of the prism are all in inches, we can calculate the volume of the prism in cubic inches:
Volume = length x width x height
Volume = 2 inches x 1 1/2 inches x 3 inches
Volume = 9 cubic inches
Now, to find out how many 1/2 inch cubes would fit inside this prism, we need to divide the volume of the prism by the volume of each cube:
Volume of 1/2 inch cube = (1/2 inch) x (1/2 inch) x (1/2 inch)
Volume of 1/2 inch cube = 1/8 cubic inch
Number of cubes that will fit = Volume of prism / Volume of 1/2 inch cube
Number of cubes that will fit = 9 cubic inches / 1/8 cubic inch
Number of cubes that will fit = 72
Therefore, 72 1/2 inch cubes would fit inside the right rectangular prism.