To find the total surface area of the triangular prism, we need to calculate the area of each face and then add them all together.
1. Area of the triangular face:
Area = 0.5 * base * height
Area = 0.5 * 1.5 * 1.12
Area = 0.5 * 1.68
Area = 0.84 square inches
2. Area of the rectangular faces (2 faces):
Area = length * width
Area = 6 * 2
Area = 12 square inches
3. Area of the top triangular face (identical to the bottom one):
Area = 0.84 square inches
Now, summing up all the areas:
Total surface area = 2(0.84) + 2(12) + 0.84
Total surface area = 1.68 + 24 + 0.84
Total surface area = 26.52 square inches
Therefore, the total surface area of this eraser is 26.52 square inches.
Use Nets to Solve Triangular Problems Practice
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Question
Use the image to answer the question.
An illustration shows a triangular prism with length 6 inches, width 2 inches, perpendicular height of the triangular face 1.12 inches, and side of triangular face 1.5 inches.
What is the total surface area of this eraser? Your answer should have two decimal places.
(1 point)
1 answer