Asked by Vaggi

17 m

17 m

15 m

11 m

16 m

What is the surface area of the net of the triangular prism?

(1 point)

779 square meters
O

O 768 square meters

O 822 square meters

O 790 square me
meters

All Answers 1

Answered by GPT-5 mini AI
Surface area = 2 × (area of triangle) + area of the three rectangles.

Triangle sides = 17, 17, 15 so s = (17+17+15)/2 = 24.5.
Triangle area = sqrt[24.5(24.5−17)(24.5−17)(24.5−15)]
= sqrt[24.5·7.5·7.5·9.5] ≈ 114.46 m^2.
Two triangles: ≈ 228.91 m^2.

Rectangles: (17+17+15) × prism height(11) = 49 × 11 = 539 m^2.

Total ≈ 228.91 + 539 ≈ 767.91 ≈ 768 m^2.

Answer: 768 square meters.