Question : The height of an equilateral triangle is $7 \sqrt{3}$ cm. What is the area of this equilateral triangle?

Option 1: $36 \sqrt{3}$ cm²

Option 2: $25 \sqrt{3}$ cm²

Option 3: $49 \sqrt{3}$ cm²

Option 4: $32 \sqrt{3}$ cm²

Question : ABCDEF is a regular hexagon. The side of the hexagon is 36 cm. What is the area of the $\triangle ABC$?

Option 1: $324 \sqrt{3}\ {cm}^2$

Option 2: $360 \sqrt{3} \ {cm}^2$

Option 3: $240 \sqrt{3} \ {cm}^2$

Option 4: $192 \sqrt{3} \ {cm}^2$

Question : ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm²) of the $\triangle $ECD?

Option 1: $18\sqrt{3}$

Option 2: $24\sqrt{3}$

Option 3: $36\sqrt{3}$

Option 4: $42\sqrt{3}$

Question : The base of a right prism is an equilateral triangle whose side is 10 cm. If the height of this prism is $10 \sqrt{3}$ cm, then what is the total surface area of the prism?

Option 1: $125 \sqrt{3}$ cm²

Option 2: $325 \sqrt{3}$ cm²

Option 3: $150 \sqrt{3}$ cm²

Option 4: $350 \sqrt{3}$ cm²

Question : The perimeter of an equilateral triangle is 48 cm. Find its area (in cm²).

Option 1: $81\sqrt{3}$

Option 2: $8\sqrt{3}$

Option 3: $25\sqrt{3}$

Option 4: $64\sqrt{3}$