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 the volume of the right rectangular prism, we need to multiply the length, width, and height:
Volume = Length x Width x Height
Volume = 2 inches x 1 1/2 inches x 3 inches
Volume = 6 cubic inches
Since each 1/2 inch cube has a volume of (1/2) x (1/2) x (1/2) = 1/8 cubic inches, we can divide the volume of the prism by the volume of each 1/2 inch cube to find out how many cubes can fit inside:
6 cubic inches / (1/8) cubic inches = 48 cubes
Therefore, 48 1/2-inch cubes would fit inside the right rectangular prism.