Surface Area of Triangular Prisms Practice
What is the surface area of the triangular prism?
(1 point)
square centimeters
To calculate the surface area of a triangular prism, we need to find the area of each of the three rectangular faces and the two triangular faces, then add them all together.
Let's say the base of the triangular prism is a right triangle with base 6 cm and height 8 cm. The length of the prism is 10 cm.
To find the surface area:
1. Calculate the area of the two triangular faces:
Area = 1/2 * base * height
Area = 1/2 * 6 cm * 8 cm = 24 square cm for each triangular face
Total area for both triangular faces = 2 * 24 = 48 square cm
2. Calculate the area of the three rectangular faces:
Front and back faces: length * height
Front and back faces area = 6 cm * 10 cm = 60 square cm
Top and bottom faces: base * height of the triangle
Top and bottom faces area = 8 cm * 10 cm = 80 square cm
Side faces: length * height of the triangle
Side faces area = 6 cm * 8 cm = 48 square cm
Total area for all three rectangular faces = 60 + 80 + 48 = 188 square cm
3. Add the areas of all faces together:
Total surface area = 48 + 188 = 236 square cm
Therefore, the surface area of the triangular prism is 236 square centimeters.