Jenny has found the total surface area and the lateral surface area of a prism, but she can’t remember which is which. She got answers of 144 in.2 and 304 in.2 . How would you distinguish which answer is lateral surface area and which is total surface area?(1 point) Responses The two areas should be the same, so Jenny should recalculate. The two areas should be the same, so Jenny should recalculate. The lateral surface area is 304 in.2 and the total surface area is 144 in.2 . The greater area is the lateral surface area. The lateral surface area is 304 in. squared and the total surface area is 144 in. squared . The greater area is the lateral surface area. There is not enough information given to distinguish lateral surface area from total surface area. There is not enough information given to distinguish lateral surface area from total surface area. The lateral surface area is 144 in.2 , and the total surface area is 304 in.2 . The area that is less is the lateral surface area.

Question

GPT-4o mini · Answer

To distinguish between the lateral surface area and the total surface area of a prism, it's important to remember the definitions of each:

Lateral Surface Area: This is the surface area of the sides of the prism, not including the top and bottom bases.
Total Surface Area: This includes the lateral surface area plus the area of the two bases (top and bottom).

In general, the total surface area of a prism will always be greater than the lateral surface area because it includes additional areas (the bases).

Given Jenny's answers of 144 in² and 304 in², the greater area (304 in²) must be the total surface area, while the lesser area (144 in²) represents the lateral surface area.

So, the correct response would be: The lateral surface area is 144 in.², and the total surface area is 304 in.². The area that is less is the lateral surface area.