For the following question, find the surface area of the regular pyramid shown to the nearest whole number

Answer:The surface area = 650 m² ⇒ the third answerStep-by-step explanation:* Lets describe the figure- Its a regular pyramid withe hexagonal base- It has 6 isosceles triangular faces- All the sides of the hexagon are equal* To find the surface area of the pyramid find the area of the 7 faces- The hexagon formed from 6 equilateral triangles∴ The area of the hexagon = 6 × 1/2 × base × height∵ The length of the base = 10 ⇒ given∵ The length of the height of each triangle = 5√√3 ⇒ given∴ The area of the hexagon = 6 × 1/2 × 10 × 5√3 = 150√3 m²* Now lets calculate the area of the side faces∵ The side face is a triangle with base length 10 and height 13∴ The area of the side faces = 6 × 1/2 × 10 × 13 = 390 m² - The total surface are = 150√3 + 390 = 649.8076 ≅ 650 m²