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?
To find out how many 1/2-inch cubes would fit inside the prism, we first calculate the volume of the prism.
Volume of a prism = length x width x height
= 2 inches x 1.5 inches x 3 inches
= 9 cubic inches
Next, we need to calculate the volume of a 1/2-inch cube.
Volume of a 1/2-inch cube = 0.5 inches x 0.5 inches x 0.5 inches
= 0.125 cubic inches
Finally, we divide the volume of the prism by the volume of a 1/2-inch cube to find out how many cubes would fit inside.
Number of cubes = Volume of prism / Volume of 1/2-inch cube
= 9 cubic inches / 0.125 cubic inches
= 72
So, 72 1/2-inch cubes would fit inside the right rectangular prism.