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)
____cubic centimeters
Cube method: Since length is 1/2, width is 1 1/2, and height is 2, Ana would create a cube with side lengths of 1/2, 1 1/2, and 2. She would then find the volume of the cube by multiplying the side lengths together: (1/2) * (3/2) * 2 = 3/4 cubic centimeters.
Formula method: The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height. Plugging in the values we have, V = (1/2) * (3/2) * 2 = 3/4 cubic centimeters.
Therefore, Ana should get a volume of 3/4 cubic centimeters using both methods.
no
Apologies for the mistake. Let's reassess the calculations using the formula method.
Given:
Length = 1/2 cm
Width = 1 1/2 cm = 3/2 cm
Height = 2 cm
Using the formula for the volume of a rectangular prism: V = lwh
V = (1/2) * (3/2) * 2
V = 3/4 * 2
V = 3/4 * 2/1
V = 6/4
V = 3/2
Therefore, the correct volume of the prism using the formula method should be 3/2 cubic centimeters. Thank you for pointing out the error.