7.48cm 17 cm 15cm 13 cm Apply the technique of using nets to find the surface area of this trianglar prism. Your answer should have two decimal places. Connexus test unit 7 coordinate Geometry and Nets Lesson 10 use nets to solve triangler problems
To find the surface area of the triangular prism, we first need to find the areas of each individual face.
The triangular faces have the dimensions:
- Base: 7.48 cm, Height: 17 cm
- Base: 15 cm, Height: 13 cm
The formula for the area of a triangle is A = 1/2 * base * height.
First triangular face:
A = 1/2 * 7.48 cm * 17 cm = 63.46 cm²
Second triangular face:
A = 1/2 * 15 cm * 13 cm = 97.5 cm²
Now, we need to find the area of each rectangular face. The dimensions of the rectangular faces are:
- 7.48 cm x 15 cm
- 17 cm x 13 cm
Area of first rectangular face:
A = 7.48 cm * 15 cm = 112.2 cm²
Area of second rectangular face:
A = 17 cm * 13 cm = 221 cm²
Therefore, the total surface area of the triangular prism is the sum of the areas of all faces:
63.46 cm² + 97.5 cm² + 112.2 cm² + 221 cm² = 494.16 cm²
So, the surface area of the triangular prism is 494.16 cm².