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)
cubes
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In the rectangular prism, the dimensions are 2 inches by 1.5 inches by 3 inches, which is a total volume of 9 cubic inches.
The colored cube inside the rectangular prism has dimensions of 0.5 inches by 0.5 inches by 0.5 inches, which is a volume of 0.125 cubic inches.
To find out how many of the colored cubes can fit inside the rectangular prism, we need to divide the total volume of the rectangular prism by the volume of the colored cube:
9 cubic inches / 0.125 cubic inches = 72
Therefore, 72 colored cubes can fit inside the right rectangular prism.