To find the surface area of the triangular prism, we need to find the area of each individual face and then add them together.
The triangular prism has two triangular faces and three rectangular faces.
For the two triangular faces:
- The base of each triangle is 15 cm.
- The height of each triangle is 12 cm.
The area of each triangular face is (1/2) * base * height = (1/2) * 15 cm * 12 cm = 90 cm^2.
So, the total area of the triangular faces is 2 * 90 cm^2 = 180 cm^2.
For the three rectangular faces:
- The length of the first rectangular face is 15 cm.
- The width of the first rectangular face is 12 cm.
- The length of the second and third rectangular faces is 12 cm.
- The width of the second and third rectangular faces is 9 cm.
- The height of all three rectangular faces is 15 cm.
The area of each rectangular face is length * width = 15 cm * 12 cm = 180 cm^2.
So, the total area of the three rectangular faces is 3 * 180 cm^2 = 540 cm^2.
The total surface area of the triangular prism is the sum of the areas of all five faces: 180 cm^2 + 540 cm^2 = 720 cm^2.
Therefore, the surface area of the triangular prism is 720 square centimeters.
A net of a triangular prism is shown below 15 15 12 12 9 6 what is the surface area in square centimeters of the triangular prism
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