Ana finds the volume of a right rectangular prism with length 1/2, width 1 1/2 and height 2 cm using the cube method Find the volume of the prism using the formule method What awer should Ana get? Provide your answer as an improper fraction reduced to the lowest terms
Cube Method:
First, Ana draws a cube with edges of length 1/2, 3/2, and 2. Then, she divides the cube into 12 smaller cubes with edges of length 1/2. She counts the number of smaller cubes that make up the prism (which is 3) and multiplies by the volume of a single small cube (which is (1/2)^3 = 1/8 cm^3). Therefore, the volume of the prism using the cube method is:
3 × 1/8 = 3/8 cm^3
Formula Method:
The formula for the volume of a rectangular prism is V = lwh. Substituting the given values, we get:
V = (1/2)(3/2)(2) = 3/4 cm^3
Answer:
The correct answer is 3/4 cm^3 using the formula method.