Find the total surface area of the following triangular prism.
Responses
A
cm squared 207 cm squared
B
cm squared 72 cm squared
C
cm squared135 cm squared
D
cm squared
In order to find the total surface area of a triangular prism, you need to find the sum of the areas of all the faces.
Since it is a triangular prism, there are three rectangular faces and two triangular faces.
Let's call the base of the triangle the length "l", the height of the triangle is "h", and the perpendicular height between the triangle base and the rectangular face is "a".
The area of the triangular faces is: 2 * (1/2 * l * h) = l * h
The area of the rectangular faces is: 2 * (l * a) = 2la
Adding up all the areas, the total surface area is: 2la + l * h.
Without the specific dimensions of the triangular prism provided, it is not possible to calculate the total surface area. So the correct response would be:
D) cm squared