Surface Area Unit Test
6 of 166 of 16 Items
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
To find the surface area of the triangular prism, we need to find the areas of each of the individual faces and then add them together.
First, let's find the area of the front triangular face:
Area = (1/2) * base * height
Area = (1/2) * 5 cm * 4 cm
Area = 10 square cm
Next, let's find the areas of the two rectangular faces:
1. The visible rectangular face:
Area = length * width
Area = 11 cm * 5 cm
Area = 55 square cm
2. The other rectangular face (which is the same size as the visible one):
Area = 55 square cm
Now, let's add up the areas of all three faces to find the total surface area of the triangular prism:
Total Surface Area = 10 square cm + 55 square cm + 55 square cm
Total Surface Area = 120 square cm
So, the surface area of the triangular prism is 120 square centimeters.