Question : The base of a triangle is equal to the perimeter of a square whose diagonal is $9 \sqrt{2}$ cm and its height is equal to the side of a square whose area is 144 cm². The area of the triangle(in cm²) is:

Option 1: 216

Option 2: 72

Option 3: 144

Option 4: 288

Question : The base of a triangle is equal to the perimeter of a square whose diagonal is $6 \sqrt{2}$ cm, and its height is equal to the side of a square whose area is 144 cm². The area of the triangle (in cm²) is:

Option 1: 288

Option 2: 216

Option 3: 144

Option 4: 72

Question : The total surface area of a right pyramid on a square base of side 10 cm with height 12 cm is:

Option 1: 260 cm²

Option 2: 360 cm²

Option 3: 330 cm²

Option 4: 300 cm²

Question : A right-angled isosceles triangle is inscribed in a semi-circle of radius 7 cm. The area enclosed by the semi-circle but exterior to the triangle is:

Option 1: 14 cm²

Option 2: 28 cm²

Option 3: 44 cm²

Option 4: 68 cm²

Question : A right square pyramid having a lateral surface area is 624 cm². If the length of the diagonal of the square is $24 \sqrt{2}$, then the volume of the pyramid is:

Option 1: 1150 cm³

Option 2: 780 cm³

Option 3: 1083 cm³

Option 4: 960 cm³