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 I ches
There are 24 1/2 inch cubes that would fit inside the rectangular prism.
To calculate this, first find the volume of the rectangular prism:
2 inches x 1 1/2 inches x 3 inches = 9 cubic inches.
Then, divide the volume of the prism by the volume of each 1/2 inch cube:
9 cubic inches รท 1/2 cubic inches = 18 cubes.
Therefore, 18 1/2 inch cubes would fit along the length and width of the prism and 2 cubes would fit along the height, making a total of 18 x 2 = 36.
However, since we are only considering cubes that fit completely within the prism, we need to exclude the cubes along the height that do no fit completely. Therefore, 36 cubes - 12 cubes = 24 cubes.
So, 24 1/2 inch cubes would fit inside the right rectangular prism.