The total surface area of the net of a triangular prism can be calculated by finding the sum of the areas of all the faces.
Let's break it down:
1. Two triangular faces:
- each face has a base of 8 cm and a height of 6 cm
- Area of each triangular face = 1/2 * base * height = 1/2 * 8 cm * 6 cm = 24 cm2
- Total area of both triangular faces = 2 * 24 cm2 = 48 cm2
2. Three rectangular faces:
- each face has a length of 8 cm and a width of 6 cm
- Area of each rectangular face = length * width = 8 cm * 6 cm = 48 cm2
- Total area of all three rectangular faces = 3 * 48 cm2 = 144 cm2
Adding the areas of both triangular and rectangular faces:
Total surface area = 48 cm2 + 144 cm2 = 192 cm2
Therefore, the total surface area represented by this net of a triangular prism is 192 cm2.
What is the total surface area represented by this net of a triangular prism?
Your answer should have two decimal places.
(1 point)
cm2
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