To find the volume using the cube method, we can count the number of cubes that make up the rectangular prism. In this case, there are 12 cubes. Each cube has a volume of (1/2)^3 = 1/8 cubic inches.
Therefore, the total volume of the rectangular prism using the cube method is 12 * 1/8 = 12/8 = 3/2 cubic inches.
To find the volume using the formula method, we can use the formula for the volume of a rectangular prism: V = lwh. In this case, the length (l) is 3 cubes, the width (w) is 2 cubes, and the height (h) is 2 cubes.
Plugging in the values, we get V = 3 * 2 * 2 = 12 cubic inches.
Therefore, the volume of the rectangular prism using the formula method is 12 cubic inches.
In conclusion, the volume of the rectangular prism is 3/2 cubic inches, whether we use the cube method or the formula method.
Compare Methods of Finding Volume Practice
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Question
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.
(1 point)
cubic inches
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