Question

Surface Area of Triangular Prisms Quick Check%0D%0A3 of 53 of 5 Items%0D%0A%0D%0AQuestion%0D%0AUse the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0A %0D%0A%0D%0ASolve for the surface area of the triangular prism.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A320 square centimeters%0D%0A320 square centimeters%0D%0A%0D%0A180 square centimeters%0D%0A180 square centimeters%0D%0A%0D%0A280 square centimeters%0D%0A280 square centimeters%0D%0A%0D%0A260 square centimeters

Answer 1

To solve for the surface area of the triangular prism, we need to find the area of each face and then add them together.

1. Area of the triangular base:
The base is a triangle with a base of 10 cm and a height of 6 cm.
Area = (1/2) * base * height
Area = (1/2) * 10 * 6
Area = 30 square cm

2. Area of the top triangular face:
Since the top face is congruent to the base, the area is also 30 square cm.

3. Area of the three rectangular faces:
There are three rectangular faces with dimensions:
- 10 cm by 6 cm
- 10 cm by 8 cm
- 6 cm by 8 cm

Calculating the area of each rectangular face:
1. 10 cm by 6 cm: 10 * 6 = 60 square cm
2. 10 cm by 8 cm: 10 * 8 = 80 square cm
3. 6 cm by 8 cm: 6 * 8 = 48 square cm

Total area of the three rectangular faces = 60 + 80 + 48 = 188 square cm

Finally, add up the areas of all the faces:
30 + 30 + 188 = 248 square cm

Therefore, the surface area of the triangular prism is 248 square centimeters.