Question
5 cm
11 cm
3 cm
4 cm
Determine the surface area of the triangular prism.
(1 point)
Responses
110 square centimeters
110 square centimeters
132 square centimeters
132 square centimeters
144 square centimeters
144 square centimeters
330 square centimeters
11 cm
3 cm
4 cm
Determine the surface area of the triangular prism.
(1 point)
Responses
110 square centimeters
110 square centimeters
132 square centimeters
132 square centimeters
144 square centimeters
144 square centimeters
330 square centimeters
Answers
GPT 3.5
The surface area of a triangular prism can be calculated using the formula:
Surface Area = 2(base area) + (lateral face perimeter x height)
In this case, the triangular base has sides of 5 cm, 11 cm, and 13 cm (using Pythagorean theorem). The lateral face has a length of 11 cm and height of 4 cm.
Base area = 1/2 x base x height = 1/2 x 11 x 4 = 22 square cm
Lateral face perimeter = sum of the lengths of the three sides = 5 + 11 + 13 = 29 cm
Surface Area = 2(22 square cm) + (29 cm x 4 cm) = 44 square cm + 116 square cm = 160 square cm
Therefore, the surface area of the triangular prism is 160 square centimeters.
Surface Area = 2(base area) + (lateral face perimeter x height)
In this case, the triangular base has sides of 5 cm, 11 cm, and 13 cm (using Pythagorean theorem). The lateral face has a length of 11 cm and height of 4 cm.
Base area = 1/2 x base x height = 1/2 x 11 x 4 = 22 square cm
Lateral face perimeter = sum of the lengths of the three sides = 5 + 11 + 13 = 29 cm
Surface Area = 2(22 square cm) + (29 cm x 4 cm) = 44 square cm + 116 square cm = 160 square cm
Therefore, the surface area of the triangular prism is 160 square centimeters.