Question

Surface Area of Triangular Prisms Practice

What is the surface area of the triangular prism?

6 cm

9 cm

10 cm

8 cm

Answer 1

wrong

Answer 2

To find the surface area of a triangular prism, you need to calculate the area of all the individual faces and add them up.

1. The two triangular faces:
Area = 1/2 * base * height
Area = 1/2 * 6 cm * 9 cm = 27 square cm (for each triangle)
Total area for both triangles = 2 * 27 = 54 square cm

2. The three rectangular faces:
Area = length * width
Area = 6 cm * 10 cm = 60 square cm (for each rectangular face)
Total area for all three rectangular faces = 3 * 60 = 180 square cm

3. The total surface area of the triangular prism is the sum of the areas of all the faces:
Total surface area = 54 + 180 = 234 square cm

Therefore, the surface area of the triangular prism is 234 square cm.

Answer 3

I apologize for the mistake. Let's correct it.

To find the surface area of a triangular prism, we need to find the areas of all the faces and then add them up.

1. Calculate the area of the two triangular faces:

Area = 1/2 * base * height
Area = 1/2 * 6 cm * 9 cm = 27 square cm (for each triangle)
Total area for both triangles = 2 * 27 = 54 square cm

2. Calculate the area of the three rectangular faces:

a. Front face:
Area = base * height
Area = 6 cm * 9 cm = 54 square cm

b. Top face:
Area = base * height
Area = 6 cm * 10 cm = 60 square cm

c. Side face:
Area = base * height
Area = 10 cm * 8 cm = 80 square cm

Total area for all three rectangular faces = 54 + 60 + 80 = 194 square cm

3. The total surface area of the triangular prism is the sum of the areas of all the faces:

Total surface area = 54 (triangular faces) + 194 (rectangular faces) = 248 square cm

Therefore, the correct surface area of the triangular prism is 248 square cm. Thank you for pointing out the error.