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 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 144 in.2, and the total surface area is 304 in.2. The area that is less is the lateral surface area.

There is not enough information given to distinguish lateral surface area from total surface area.

1 answer

The correct response is:

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.

In a prism, the total surface area includes the lateral surface area plus the areas of the two bases. Therefore, the total surface area will always be greater than the lateral surface area, making it clear that the larger value (304 in.²) represents the total surface area while the smaller value (144 in.²) represents the lateral surface area.