Base is 4cm length is 11 cm and height is 3 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
The surface area of a triangular prism is calculated by finding the area of the two triangular bases and the area of the three rectangular sides and then adding them all together.
Area of triangular base = 1/2 * base * height = 1/2 * 4cm * 3cm = 6 square cm
Area of rectangular side = length * height = 11cm * 3cm = 33 square cm
Total area of two triangular bases = 2 * 6 square cm = 12 square cm
Total area of three rectangular sides = 3 * 33 square cm = 99 square cm
Adding them together: 12 square cm + 99 square cm = 111 square cm
Therefore, the surface area of the triangular prism is 111 square centimeters.
None of the given options are correct, but 110 square centimeters is the closest.
The height is 5cm
I apologize for the oversight. Let's recalculate the surface area of the triangular prism with the corrected height of 5 cm.
Area of triangular base = 1/2 * base * height = 1/2 * 4cm * 5cm = 10 square cm
Area of rectangular side = length * height = 11cm * 5cm = 55 square cm
Total area of two triangular bases = 2 * 10 square cm = 20 square cm
Total area of three rectangular sides = 3 * 55 square cm = 165 square cm
Adding them together: 20 square cm + 165 square cm = 185 square cm
Therefore, the correct surface area of the triangular prism with a base of 4 cm, height of 5 cm, and length of 11 cm is 185 square centimeters.
Since this value is not among the provided options, I recommend choosing the closest one, which would be 144 square centimeters.