Volume of a Right Rectangular Prism Practice

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Question
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)

To find the volume of the rectangular prism, multiply the length, width, and height:

2 inches x 1.5 inches x 3 inches = 9 cubic inches

To find the volume of the 1/2 inch cube, multiply the length, width, and height:

0.5 inches x 0.5 inches x 0.5 inches = 0.125 cubic inches

To find how many 1/2 inch cubes would fit inside the rectangular prism, divide the volume of the rectangular prism by the volume of the 1/2 inch cube:

9 cubic inches / 0.125 cubic inches = 72 1/2 inch cubes

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