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 can fit inside the right rectangular prism, we need to calculate the volume of the prism and then divide it by the volume of each cube.
The volume of the right rectangular prism is calculated by multiplying its length, width, and height:
Volume = length x width x height
Volume = 2 x 1 1/2 x 3
Volume = 2 x 1.5 x 3
Volume = 9 cubic inches
The volume of each 1/2-inch cube is:
Volume = 1/2 x 1/2 x 1/2
Volume = 1/8 cubic inch
Now, we can calculate the number of cubes that can fit inside the prism by dividing the volume of the prism by the volume of each cube:
Number of cubes = 9 / 1/8
Number of cubes = 9 / 0.125
Number of cubes = 72
Therefore, 72 1/2-inch cubes would fit inside the right rectangular prism.