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)

1 answer

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.