What is the surface area of the triangular prism? (1 point) square centimeters
bottom side 6cm
left side - 8 cm
right side - 9cm
top side - 10cm
The surface area of a triangular prism can be calculated by finding the sum of the areas of all the faces.
First, calculate the area of the two triangular bases. Each base is a right triangle with base 6 cm and height 8 cm. Therefore, the area of each base is (1/2)(6)(8) = 24 square cm.
Next, calculate the area of the three rectangular faces. The front and back faces will have an area of (6)(10) = 60 square cm each, and the bottom face will have an area of (8)(10) = 80 square cm.
Therefore, the total surface area of the triangular prism is 24 + 24 + 60 + 60 + 80 = 248 square cm.
wrong
I apologize for the mistake. Let's recalculate the surface area of the triangular prism.
1. Calculate the area of the two triangular bases:
- Area of a triangle = (1/2) * base * height
- Area of the first base = (1/2) * 6 * 8 = 24 square cm
- Area of the second base = (1/2) * 10 * 8 = 40 square cm
2. Calculate the area of the three rectangular faces:
- Front and back faces: 6 * 8 = 48 square cm each
- Bottom face: 6 * 10 = 60 square cm
3. Add all the calculated areas to find the total surface area:
24 (first base) + 40 (second base) + 48 (front face) + 48 (back face) + 60 (bottom face) = 220 square cm
Therefore, the correct surface area of the triangular prism is 220 square cm.