How many 1/3 inch cubes would fit inside a right rectangular prism that is 1 1/4 in by 1in by 2/3
To find out how many 1/3 inch cubes would fit inside the right rectangular prism, we need to calculate the volume of the prism and then divide it by the volume of one 1/3 inch cube.
The volume of the right rectangular prism is:
1 1/4 in x 1 in x 2/3 in = (5/4) in x 1 in x (2/3) in = 5/4 x 2/3 = 10/12 = 5/6 cubic inches
The volume of one 1/3 inch cube is:
(1/3 in)^3 = 1/27 cubic inches
Now we divide the volume of the prism by the volume of one cube to find out how many cubes would fit inside:
(5/6) / (1/27) = (5/6) x (27/1) = 135/6 = 22.5
Therefore, approximately 22.5 1/3 inch cubes would fit inside the right rectangular prism. Since we cannot have a fraction of a cube, this means that 22 cubes would fit perfectly inside the prism.