A pyramid has an equilateral triangle as its base, of which each side is 8 cm. Its slant edge is 24 cm. The whole surface area of the pyramid (in cm 2) is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. (16√3 + 48√35)
Formula used
The Total surface area (TSA) = Area of the base + (1/2)perimeter of base × slant height of pyramid
TSA = (√3/4) × 64 + (1/2) × 3 × 8 × slant height of pyramid
The slant height of the pyramid = √(242 - (8/2)2) = √(576 - 16) = √560 = 4√35 cm
TSA = 16√3 + 12 × 4√35 = (16√3 + 48√35) cm