An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The visible rectangular face has a width of 5 centimeters and length of 11 centimeters. The sides and edges that are not visible are indicated by dashed lines. The legs of the triangular face are labeled 3 centimeters and 4 centimeters. The hypotenuse shares the same label as the width of the visible rectangular face.

Question

What is the surface area of the triangular prism?
pls and ty

Answer 1

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

1. The area of the front triangular face:
Area = 1/2 * base * height
Area = 1/2 * 5 * 11 = 27.5 square centimeters

2. The area of the back triangular face is the same as the front face, so we have:
2 * 27.5 = 55 square centimeters

3. The area of the rectangular face:
Area = length * width
Area = 11 * 5 = 55 square centimeters

4. The area of the other rectangular face is the same, so we have:
2 * 55 = 110 square centimeters

Adding all the areas together:
27.5 (front triangular face) + 55 (back triangular face) + 55 (rectangular face) + 110 (other rectangular face)
= 247.5 square centimeters

Therefore, the surface area of the triangular prism is 247.5 square centimeters.

Answer 2

wrong

Answer 3

Apologies for the mistake. Let's try solving it step by step again:

1. Front triangular face area:
Area = 1/2 * base * height
Area = 1/2 * 5 cm * 11 cm
Area = 27.5 square cm

2. Back triangular face area (same as front):
Area = 27.5 square cm

3. Area of each rectangular face:
Area = length * width
Area = 11 cm * 5 cm
Area = 55 square cm

4. Total area of both rectangular faces:
2 * 55 square cm = 110 square cm

5. Total surface area of the triangular prism:
Front + Back + 2 * Rectangular
= 27.5 + 27.5 + 110
= 165 square cm

Therefore, the correct surface area of the triangular prism is 165 square centimeters. Thank you for your patience.