To calculate the surface area of the triangular prism, we need to find the area of each individual face and then add them together.
1. The area of the two triangular faces can be calculated using the formula for the area of a triangle:
Area = 0.5 * base * height
For the middle triangle:
Area = 0.5 * 9 cm * 7.8 cm = 35.1 cm²
For the triangle attached to one of the rectangles:
Area = 0.5 * 9 cm * 7.98 cm = 35.1 cm²
2. The area of the three rectangular faces can be calculated using the formula for the area of a rectangle:
Area = length * width
For each rectangle:
Area = 9 cm * 17 cm = 153 cm²
3. Now, add up the areas of all the faces:
35.1 cm² (middle triangle) + 35.1 cm² (triangle attached to rectangle) + 153 cm² (each rectangle) * 3 =
35.1 + 35.1 + 153 * 3 = 35.1 + 35.1 + 459 = 529.2 cm²
Therefore, the surface area of the triangular prism is 529.2 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 surface area of this triangular prism?
(1 point)
cm2
1 answer
1 answer