How many 1/3- inch cubes would fit inside the rectangular prism?
12 cubes
7 cubes
48 cubes
24 cubes
24 cubes
To find the answer, you need to calculate the volume of the rectangular prism and then divide that by the volume of one 1/3-inch cube.
The formula for the volume of a rectangular prism is length x width x height.
In this case, the rectangular prism has dimensions of 3 x 4 x 2 inches, so the volume is 3 x 4 x 2 = 24 cubic inches.
The volume of one 1/3-inch cube is 1/3 x 1/3 x 1/3 = 1/27 cubic inches.
Dividing the volume of the prism by the volume of one cube gives us 24 / (1/27) = 24 x 27 = 648 cubes.
Therefore, 24 cubes would fit inside the rectangular prism.