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 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)
cubes
The rectangular prism has dimensions of 2 inches by 1.5 inches by 3 inches. The colored cube inside has dimensions of 0.5 inches by 0.5 inches by 0.5 inches.
To find out how many 0.5-inch cubes would fit inside the rectangular prism, you would need to divide the volume of the prism by the volume of the cube.
Volume of the prism = 2 inches x 1.5 inches x 3 inches = 9 cubic inches
Volume of the cube = 0.5 inches x 0.5 inches x 0.5 inches = 0.125 cubic inches
9 cubic inches / 0.125 cubic inches = 72
Therefore, 72 one-half inch cubes would fit inside the right rectangular prism.