Surface Area Unit Test
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Question
Use the image to answer the question.
What is the surface area of the triangular prism?
(1 point)
square centimeters
To find the surface area of a triangular prism, we need to calculate the area of each face and then add them together.
1. The two triangular bases:
Each triangular base has a base length of 5 cm and a height of 4 cm.
Area of a triangle = 1/2 * base * height
Therefore, area of each triangular base = 1/2 * 5 * 4 = 10 square cm
2. The three rectangular faces:
The three rectangular faces are all identical, with dimensions 5 cm (length) and 6 cm (height).
Area of a rectangle = length * width
Therefore, area of each rectangular face = 5 * 6 = 30 square cm
Now, add up the areas of all the faces to find the total surface area:
Total surface area = 2(10) + 3(30) = 20 + 90 = 110 square cm
Therefore, the surface area of the triangular prism is 110 square centimeters.