Question

A triangular prism has a height of 9 meters and a triangular base with the following dimensions.

Answer 1

Triangular Prism Area = (2 * triangle area) + prism height * (sum of 3 triangle sides)
(2 * triangle area) = (2 * (1/2) * 6 * 16) =
(2 * triangle area) = (2 * 48)
(2 * triangle area) = 96

Triangular Prism Area = 96 + 9 * (10 + 10 + 16)
Triangular Prism Area = 96 + 9 * 36
Triangular Prism Area = 420 square meters

Source:
http://www.1728.org/triprism.htm

Answer 2

Answer:

Surface Area of Prism is 420 m².

Step-by-step explanation:

Given: Height of Prism = 9 m

            Length of Sides of Triangle of base = 10 m , 10 m , 16 m

            Height of Triangle in base = 6 m

To find: Surface Area of prism

Surface Area of Prism = 2 × Area of triangle in base + 2 × Area of

                                        rectangle on side 10 m of triangle + Area of

                                        rectangle on side 16 m of triangle.

                                     = $2\times\frac{1}{2}\times base\times height$ +

                                        2 × length × breadth + length × breadth

                                     = $16\times6$ + 2 × 10 × 9 + 16 × 9

                                     = 96 + 180 + 144

                                     = 420 m²

Therefore, Surface Area of Prism is 420 m².