Which expression can be used to find the surface area of the following triangular prism?
Options:
A) 48+48+120+160+200
B) 24+200
C) 24+24+120+160+200
D) 24+24+200+120+120
C) 24+24+120+160+200
To find the surface area of a triangular prism, you need to calculate the areas of all the surfaces and then add them together.
A triangular prism has three rectangular faces and two triangular faces.
Let's break down the options and determine which expression corresponds to the correct formula for finding the surface area.
Option A: 48 + 48 + 120 + 160 + 200.
This expression seems to be adding the lengths of all the sides of the prism. It does not take into account the areas of the faces, so it is not correct.
Option B: 24 + 200.
This expression adds the lengths of two sides of the prism. It does not include the areas of the triangular faces or the other rectangular faces, so it is not correct.
Option C: 24 + 24 + 120 + 160 + 200.
This expression includes the lengths of all sides of the prism and seems to be the sum of the areas of all five faces. This is the correct option for finding the surface area of the triangular prism.
Option D: 24 + 24 + 200 + 120 + 120.
This expression has a similar structure to Option C, but the lengths are different. It is not the correct option.
Therefore, the correct expression to find the surface area of the triangular prism is Option C: 24 + 24 + 120 + 160 + 200.