Surface Area of Triangular Prisms Practice
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4 of 54 of 5 Items
Question
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A triangular prism. The front triangular face is visible. The right rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. The left side of the triangle measures 8 centimeters. The left side meets the base to form a right angle. The base of the triangle measures 6 centimeters. The hypotenuse side of the triangle measures 10 centimeters. The width of the rectangular face measures 9 centimeters.
What is the surface area of the triangular prism?
(1 point)
To find the surface area of the triangular prism, we need to find the area of each face and then add them together.
1. Area of the triangular face:
Area = 1/2 * base * height
Area = 1/2 * 6 * 8
Area = 24 square centimeters
2. Area of the rectangular face:
Area = length * width
Area = 9 * 6
Area = 54 square centimeters
3. Area of the other rectangular face (which is identical to the previous one):
Area = 54 square centimeters
Now, add all of the areas together:
Surface Area = 24 + 54 + 54
Surface Area = 132 square centimeters
Therefore, the surface area of the triangular prism is 132 square centimeters.