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)
cubic inches
Both methods will give the same result.
Cube method:
Since the prism is made up of 12 cubes, the volume is simply 12 times the volume of one cube.
Volume of one cube = (1/2)^3 = 1/8 cubic inches
Volume of prism = 12 * (1/8) = 12/8 = 3/2 cubic inches
Formula method:
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
In this case, each side of the cubes is 1/2 inch, so the length, width, and height of the prism are all 6 * 1/2 = 3 inches.
V = (3)(3)(3) = 27 cubic inches
Therefore, the volume of the right rectangular prism is 27 cubic inches, which can be reduced to 3/2 in lowest terms.