Final answer:
The volume of the prism with dimensions 2x², 1/4x, and 3x is calculated by multiplying these dimensions together, making option (c) the correct method: V = 2x² × 1/4x × 3x.
Step-by-step explanation:
To determine the volume of a prism, you need to multiply its length, width, and height. In this case, the prism has dimensions 2x², 1/4x, and 3x. Therefore, the volume V is obtained by multiplying these three dimensions together:
V = length × width × height
So, the formula to calculate the volume of the prism would be:
V = 2x² × 1/4x × 3x
Thus, option (c) 2x × 1/4x × 3x is the correct method to determine the volume of this prism. The other options either reflect different operations or are incomplete. Option (a) is a generic formula, option (b) lacks the variable x, and option (d) is incorrect as it indicates a sum of dimensions, not a product.