To find the total surface area of the triangular prism, we need to find the areas of each of the faces and add them up.
1. The area of the rectangular side faces:
- There are two side faces with dimensions 15cm x 5.77cm = 86.55cm² each, so the total area for both side faces is 2 x 86.55cm² = 173.10cm².
2. The area of the triangular face:
- The triangular face has a base of 6.5cm and height of 5.77cm, so the area of the triangular face is 0.5 x 6.5cm x 5.77cm = 18.76cm².
3. The area of the top face:
- The top of the prism is another triangular face with base 6cm and height 6.5cm, so the area is 0.5 x 6cm x 6.5cm = 19.50cm².
Now, add up all the areas:
173.10cm² (side faces) + 18.76cm² (triangular face) + 19.50cm² (top face) = 211.36cm²
Therefore, the total surface area of the pencil sharpener is 211.36 cm².
Use Nets to Solve Triangular Problems Practice
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Question
Use the image to answer the question.
An illustration shows a solid triangular prism with length 15 centimeters, width 6 centimeters, perpendicular height of the triangular face 5.77 centimeters, and side of triangular face 6.5 centimeters.
What is the total surface area of the pencil sharpener? Your answer should have two decimal places.
(1 point)
cm2
1 answer