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? (1 point)

Answer 1

The volume of the right rectangular prism is calculated by multiplying the length, width, and height.

Volume = length x width x height
Volume = 2 inches x 1 1/2 inches x 3 inches
Volume = 2 inches x 1.5 inches x 3 inches
Volume = 9 cubic inches

Each 1/2-inch cube has a volume of 1/2 x 1/2 x 1/2 = 1/8 cubic inches.

To find out how many 1/2-inch cubes can fit inside the right rectangular prism, divide the volume of the prism by the volume of one cube:

9 cubic inches / (1/8 cubic inches) = 72 cubes

Therefore, 72 1/2-inch cubes would fit inside the right rectangular prism.