To find the surface area of the triangular prism, we need to find the areas of all the faces and add them up.
The front triangular face area can be calculated using the formula for the area of a triangle:
1/2 * base * height = 1/2 * 5 * 4 = 10 square centimeters.
The back triangular face area is the same as the front triangular face since the prism has a symmetrical shape.
The area of the right rectangular face is the length multiplied by the width:
11 * 5 = 55 square centimeters.
There are two identical right rectangular faces on the prism.
So, the total surface area of the triangular prism is:
2 triangular faces + 2 rectangular faces = 2(10) + 2(55) = 20 + 110 = 130 square centimeters.
Therefore, the surface area of the triangular prism is 130 square centimeters.
Question
Use the image to answer the question.
An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The visible rectangular face has a width of 5 centimeters and length of 11 centimeters. The sides and edges that are not visible are indicated by dashed lines. The legs of the triangular face are labeled 3 centimeters and 4 centimeters. The hypotenuse shares the same label as the width of the visible rectangular face.
What is the surface area of the triangular prism?
(1 point)
square centimeters
1 answer