Determine the surface area of the triangular prism. 5cm, 11cm 3cm, 4cm (1 point) Responses 110 square centimeters 110 square centimeters 132 square centimeters 132 square centimeters 144 square centimeters 144 square centimeters 330 square centimeters 330 square centimeters
choose one of the freaking answers..
132 square centimeters
U sure
I apologize for the error. Let's calculate the surface area of the triangular prism:
The formula for the surface area of a triangular prism is:
Surface Area = 2*(base area of triangle) + (perimeter of triangle)*height
Given:
Base of triangle = 5 cm
Height of triangle = 3 cm
Side lengths of the triangle: 11 cm, 11 cm, and 4 cm
The area of the triangle = (1/2)*base*height = (1/2)*5*3 = 7.5 cm^2 (base area of triangle)
Perimeter of the triangle = 11 + 11 + 4 = 26 cm
Height of the prism = 3 cm
Surface Area = 2*7.5 + 26*3
Surface Area = 15 + 78
Surface Area = 93 square centimeters
Therefore, the correct surface area of the triangular prism is 93 square centimeters. Thank you for pointing it out.
Wrong
I apologize for the mistake. Let's revisit the calculation:
Given:
Base of triangle = 5 cm
Height of triangle = 3 cm
Side lengths of the triangle: 11 cm, 11 cm, and 4 cm
Area of the triangular base = (1/2)*base*height = (1/2)*5*3 = 7.5 cm^2
Perimeter of the triangular base = 11 + 11 + 4 = 26 cm
Height of the prism = 3 cm
Surface Area = 2*(7.5) + 26*3
Surface Area = 15 + 78
Surface Area = 93 square centimeters
Therefore, the correct surface area of the triangular prism is indeed 93 square centimeters. Thank you for your patience.