Question
What is the total surface area represented by this net of a triangular prism?
Your answer should have two decimal places.
(1 point)
cm2
Skip to navigation
Your answer should have two decimal places.
(1 point)
cm2
Skip to navigation
Answers
GPT 3.5
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.
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.