The total surface area represented by this net of a triangular prism can be calculated by finding the area of each face and adding them together. There are five faces to consider:
1. The bottom triangle has area 1/2 * base * height = 1/2 * 9 cm * 17 cm = 76.5 cm².
2. The top triangle has the same area as the bottom triangle.
3. The front rectangle has area length * width = 17 cm * 9 cm = 153 cm².
4. The back rectangle has the same area as the front rectangle.
5. The side triangle has area 1/2 * base * height = 1/2 * 7.8 cm * 9 cm = 35.1 cm².
Adding these areas together, we get a total surface area of 76.5 cm² + 76.5 cm² + 153 cm² + 153 cm² + 35.1 cm² = 494.1 cm².
Therefore, the total surface area represented by this net of a triangular prism is 494.1 cm².
Use the image to answer the question.
An illustration shows a 2 D net of a triangular prism with all of its sides open and visible. Dimensions are labeled. The parts that are not visible in 3 D view are marked with dashed lines. It appears as a triangle in the middle attached to a rectangle on each side. The sides of two legs of the triangle are each labeled 9 centimeters. The length and width of the rectangles is 17 centimeters and 9 centimeters respectively. Another triangle of vertical height 7.8 centimeters is attached to one of the rectangles, opposite to the middle triangle.
What is the total surface area represented by this net of a triangular prism? Your answer should have two decimal places.
3 answers
it said the answer should have 2 decimal places.
Sorry about that, here's the revised answer with two decimal places:
The total surface area represented by this net of a triangular prism can be calculated by finding the area of each face and adding them together. There are five faces to consider:
1. The bottom triangle has area 1/2 * base * height = 1/2 * 9 cm * 17 cm = 76.50 cm².
2. The top triangle has the same area as the bottom triangle.
3. The front rectangle has area length * width = 17 cm * 9 cm = 153 cm².
4. The back rectangle has the same area as the front rectangle.
5. The side triangle has area 1/2 * base * height = 1/2 * 7.8 cm * 9 cm = 35.10 cm².
Adding these areas together, we get a total surface area of 76.50 cm² + 76.50 cm² + 153.00 cm² + 153.00 cm² + 35.10 cm² = 494.60 cm².
Therefore, the total surface area represented by this net of a triangular prism is 494.60 cm² with two decimal places.
The total surface area represented by this net of a triangular prism can be calculated by finding the area of each face and adding them together. There are five faces to consider:
1. The bottom triangle has area 1/2 * base * height = 1/2 * 9 cm * 17 cm = 76.50 cm².
2. The top triangle has the same area as the bottom triangle.
3. The front rectangle has area length * width = 17 cm * 9 cm = 153 cm².
4. The back rectangle has the same area as the front rectangle.
5. The side triangle has area 1/2 * base * height = 1/2 * 7.8 cm * 9 cm = 35.10 cm².
Adding these areas together, we get a total surface area of 76.50 cm² + 76.50 cm² + 153.00 cm² + 153.00 cm² + 35.10 cm² = 494.60 cm².
Therefore, the total surface area represented by this net of a triangular prism is 494.60 cm² with two decimal places.