Use the image to answer the question.

An illustration shows a 3 D rectangular cuboid segmented into 2 rows by 2 columns of blocks. The length is start fraction 2 over 5 end fraction, the width is start fraction 1 over 5 end fraction, and the height is start fraction 2 over 5 end fraction.

A right rectangular prism is made up of 4 cubes that are 1/5 inch on each side. Use the cube method or the formula method to find the volume. Reduce your answer to lowest terms.

(1 point)

1 answer

Cube method:
Since the length is 2/5, the number of cubes along the length is 2/5 divided by 1/5, which is 2 cubes.
Since the width is 1/5, the number of cubes along the width is 1 cube.
Since the height is 2/5, the number of cubes along the height is 2 cubes.

Therefore, the volume of the rectangular prism is 2 x 1 x 2 = 4 cubic units.

Formula method:
Volume = length x width x height
Volume = (2/5) x (1/5) x (2/5)
Volume = 4/125 cubic units

Therefore, the volume is 4/125 cubic units.
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