Ana finds the volume of a right rectangular prism with length 1/2 cm, width 1 1/2 cm, and height 2 cm using the cube method. Find the volume of the prism using the formula method. What answer should Ana get? Provide your answer as an improper fraction reduced to the lowest terms. (1 point)
Cube method:
The prism can be represented as a cube with side length 1/2 * 1 1/2 * 2 = 3/4 * 3/2 * 2 = 3/4 * 3 = 9/4 or 2 1/4 cm.
Volume = side^3 = (9/4)^3 = 729/64 cm^3
Formula method:
Volume of a right rectangular prism = length * width * height
Volume = 1/2 * 3/2 * 2 = 3/4 * 2 = 3/2 or 1 1/2 cm
Since both methods should give the same answer, Ana should get a volume of 3/4 cubic cm.