Final answer:
The volume of the trapezoidal prism is calculated by substituting x with 12 cm into the given expression V = 2x + 6x, leading to a volume of 96 cubic centimeters.
Step-by-step explanation:
The student's question involves finding the volume of a trapezoidal prism using a given algebraic expression and a specified value for the variable x. The expression provided is V = 2x + 6x, which indicates a linear relationship between x and the volume V. Here, the variable x represents a measurement related to the prism, and when x is substituted with 12 cm, we can calculate the volume.
Step-by-Step Solution:
Multiply to simplify the expression: V = 24 + 72.
Add the values to find the total volume: V = 96 cm3.
The calculated volume of the prism is 96 cubic centimeters when x equals 12 cm.