Using the cube method, we can see that the rectangular prism is made up of 3 layers of 4 cubes each. Therefore, the volume of the rectangular prism is 3 x 4 = 12 cubic units.
Using the formula method, the volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.
Given that each cube has a side length of 1/2 inch, the length of the rectangular prism is 2 cubes (1 inch), the width is 2 cubes (1 inch), and the height is 3 cubes (1.5 inches).
Therefore, the volume of the rectangular prism is V = 2 x 1 x 1 x 1.5 = 3 cubic units.
So, the volume of the rectangular prism made of 12 cubes is 3 cubic units, which is equivalent to the improper fraction 3/1.
Use the image to answer the question.
An illustration shows a rectangular prism made of cubes placed as 3 columns, 2 cubes high and 2 cubes deep.
A right rectangular prism is made up of 12 cubes that are 1/2 -inch on each side. Use the cube method or the formula method to find the volume. Provide your answer as an improper fraction reduced to the lowest terms.
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