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.
Find the volume of the right rectangular prism packed with 12 cubes. Each cube has an edge length of 1/2 inch.
A. 3/2
B. 12
C. 1/8
D. 5
A. 3/2
To find the volume of the rectangular prism, we multiply the length, width, and height. In this case, the length is 1/2 inch, the width is 1 inch, and the height is 2 inches.
Volume = length x width x height
Volume = 1/2 x 1 x 2
Volume = 2/2
Volume = 1
Therefore, the volume of the rectangular prism is 1 cubic inch. Since there are 12 cubes packed into the rectangular prism, each cube has a volume of 1/12 cubic inch.
Since each cube has an edge length of 1/2 inch, the volume of a single cube is:
Volume of a cube = (1/2)^3
Volume of a cube = 1/8
Therefore, the correct answer is A. 3/2.