Use the image to answer the question.
A rectangular prism is on a white background with the length labeled as 2 inches, the width labeled as 1 and a half inches, and a height of 3 inches. Inside the rectangular prism is a colored cube with the dimensions of one half of an inch for the length, width, and height.
How many 12 -inch cubes would fit inside a right rectangular prism with a length of 2 inches, a width of 112 inches, and a height of 3 inches?
(1 point)
Since the inside cube has dimensions of 1/2 inch for all sides, it has a volume of (1/2)^3 = 1/8 cubic inches.
The volume of the rectangular prism is 2 * 1.5 * 3 = 9 cubic inches.
Therefore, the number of 1/8 cubic inch cubes that can fit inside the rectangular prism is 9 / (1/8) = 72.
So, 72 1/2 inch cubes would fit inside a right rectangular prism with the given dimensions.