To find the volume of the rectangular prism, you would multiply the length, width, and height together: 2 inches x 1.5 inches x 3 inches = 9 cubic inches.
Since the dimensions of the colored cube are each 0.5 inches, the volume of the cube would be 0.5 inches x 0.5 inches x 0.5 inches = 0.125 cubic inches.
To find out how many of the colored cubes would fit inside the rectangular prism, you would divide the volume of the prism by the volume of the cube:
9 cubic inches / 0.125 cubic inches = 72
Therefore, 72 0.5-inch cubes would fit inside the right rectangular prism.
Volume of a Right Rectangular Prism Practice
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Question
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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?
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