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)
Using the formula method, we can find the volume of the rectangular prism by multiplying the length, width, and height:
Volume = length x width x height
In the illustration, we can see that the length is 3 cubes (1 1/2 inches), the width is 2 cubes (1 inch), and the height is also 2 cubes (1 inch).
So,
Volume = 3 x 2 x 2
Volume = 12
Each cube has a volume of 1/8 cubic inches (1/2 inch x 1/2 inch x 1/2 inch), so the total volume is:
12 x 1/8 = 3/2 cubic inches
Therefore, the volume of the rectangular prism is 3/2, which is already in lowest terms.