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 12 inch.
18 cubic inches
5 cubic inches
32 cubic inches
12 cubic inches
The correct answer is 32 cubic inches.
To find the volume of the rectangular prism, we need to multiply the length, width, and height of the prism. From the illustration, we can see that the prism has dimensions of 3 cubes (length) by 2 cubes (width) by 2 cubes (height).
Therefore, the volume is:
3 cubes x 2 cubes x 2 cubes = 12 cubes
Since each cube has an edge length of 12 inches, the volume of one cube is:
12 inches x 12 inches x 12 inches = 1728 cubic inches
To find the volume of the entire rectangular prism, we need to multiply 12 (the number of cubes) by the volume of one cube:
12 x 1728 cubic inches/cube = 20,736 cubic inches
However, the answer choices are given in terms of cubic inches, not cubic feet. To convert, we need to divide the answer by 12^3:
20,736 cubic inches / (12 inches/cube)^3 = 32 cubic inches