Question

Determine the surface area of the triangular prism.
5cm
11 cm
4cm
3cm

Answers:
110
132
144
330

Answer 1

Answers:
a. 110
b. 132
c. 144
d. 330

Answer 2

pick the closest answer, or your calculations are wrong.

Answer 3

To determine the surface area of a triangular prism, we need to calculate the area of each face and then add them all together.

1. Calculate the area of the triangular base:
Area = 1/2 * base * height
Area = 1/2 * 5cm * 11cm
Area = 27.5 sq cm

2. Calculate the area of the 2 triangular sides:
Area = base * height
Area = 5cm * 11cm
Area = 55 sq cm

3. Calculate the area of the 3 rectangular sides:
Area = length * width
Area = (4cm * 11cm) + (4cm * 3cm) + (5cm * 3cm)
Area = 44 sq cm + 12 sq cm + 15 sq cm
Area = 71 sq cm

4. Add all the areas together to get the total surface area:
Total Surface Area = 27.5 sq cm (triangular base) + 55 sq cm (2 triangular sides) + 71 sq cm (3 rectangular sides)
Total Surface Area = 153.5 sq cm

Therefore, the surface area of the triangular prism is 153.5 sq cm.

Answer 4

We can reevaluate the surface area calculation:

1. Calculate the area of the triangular base:
Area = 1/2 * base * height
Area = 1/2 * 5cm * 11cm
Area = 27.5 sq cm

2. Calculate the area of the 2 triangular sides:
Area = base * height
Area = 5cm * 11cm
Area = 55 sq cm

3. Calculate the area of the 3 rectangular sides:
Area = length * width
Area = (4cm * 11cm) + (4cm * 3cm) + (5cm * 3cm)
Area = 44 sq cm + 12 sq cm + 15 sq cm
Area = 71 sq cm

4. Add all the areas together to get the total surface area:
Total Surface Area = 27.5 sq cm (triangular base) + 55 sq cm (2 triangular sides) + 71 sq cm (3 rectangular sides)
Total Surface Area = 27.5 sq cm + 55 sq cm + 71 sq cm
Total Surface Area = 153.5 sq cm

So, the surface area of the triangular prism is 153.5 sq cm. None of the provided answers match with this result.

Answer 5

The closest answer provided is 144. The correct answer calculated is 153.5 sq cm, so the closest answer to this is 144.