To find the surface area of the triangular prism, we first need to calculate the area of the front triangular face and the area of the rectangular faces.
1. Area of the front triangular face:
Since we know the base and height of the front triangle, we can use the formula for the area of a triangle: A = 1/2 * base * height.
A = 1/2 * 6 cm * 8 cm = 24 square cm.
2. Area of the rectangular faces:
There are two rectangular faces on the triangular prism, each with a width of 9 cm and a height of 8 cm (the same as the height of the front triangle).
The area of one rectangular face is: 9 cm * 8 cm = 72 square cm.
Since there are two rectangular faces, the total area of the rectangular faces is: 72 square cm * 2 = 144 square cm.
3. Total surface area:
To find the total surface area of the triangular prism, we need to add the areas of the front triangular face and the two rectangular faces together:
Total surface area = Area of front triangular face + Area of rectangular faces
Total surface area = 24 square cm + 144 square cm = 168 square cm.
Therefore, the surface area of the triangular prism is 168 square centimeters.
Surface Area of Triangular Prisms Practice
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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)
square centimeters
1 answer
1 answer