Answer: 3√3 a²/2.
- A 3√3 a²/2
- B 6a²
- C 3a²
- D 2√3 a²
Correct answer: A. 3√3 a²/2
Explanation: A regular hexagon splits into 6 equilateral triangles, each with side a. Area of one equilateral triangle=√3a²/4. Total=6×(√3a²/4)=3√3a²/2. E.g. a=2 gives area=6√3 ≈10.39. Ans: 3√3a²/2.
Three standard 3D solids and their key formulas: a cylinder's volume scales with the full height, a cone's volume is exactly one-third of the cylinder with the same base and height, and a sphere's volume and surface area both follow distinct r-based formulas worth memorising separately.
Concept context
Perimeters, areas, and volumes of 2D and 3D shapes