Surface Area of Triangular Prisms Practice
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Question
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What is the surface area of the triangular prism?
(1 point)
square centimeters
To find the surface area of a triangular prism, you need to find the area of each of the three rectangular faces and the two triangular faces, and then add them all together.
In this case, we can see that the two triangular faces are identical and have a base of 6 cm and a height of 4 cm. The formula for the area of a triangle is 1/2 * base * height, so the area of each triangular face is 1/2 * 6 cm * 4 cm = 12 square cm.
Next, we can see that the three rectangular faces have dimensions of 6 cm by 3 cm, 8 cm by 3 cm, and 8 cm by 6 cm. The formula for the area of a rectangle is length * width, so the areas of the three rectangular faces are 6 cm * 3 cm = 18 square cm, 8 cm * 3 cm = 24 square cm, and 8 cm * 6 cm = 48 square cm.
Adding up all the areas, we get:
12 (two triangular faces) + 18 + 24 + 48 (three rectangular faces) = 102 square cm
Therefore, the surface area of the triangular prism is 102 square centimeters.