Question : Let ABCDEF be a prism whose base is a right-angled triangle, where sides adjacent to 90$^{\circ}$ are 9 cm and 12 cm. If the cost of painting the prism is INR 151.20, at the rate of 20 paise per sq cm then the height of the prism is:

Option 1: 17 cm

Option 2: 18 cm

Option 3: 15 cm

Option 4: 16 cm

Question : The base of a solid right prism is a triangle whose sides are 9 cm, 12 cm, and 15 cm. The height of the prism is 5 cm. Then, the total surface area of the prism is:

Option 1: 180 cm²

Option 2: 234 cm²

Option 3: 288 cm²

Option 4: 270 cm²

Question : One side of the triangle is 15 cm and the corresponding height is 6 cm, then area of the triangle is:

Option 1: 46 sq. cm

Option 2: 45 sq. cm

Option 3: 47 sq. cm

Option 4: 48 sq. cm

Question : If the hypotenuse of a right-angled triangle is 29 cm and the sum of the other two sides is 41 cm, then the difference between the other two sides is:

Option 1: 5 cm

Option 2: 1 cm

Option 3: 2 cm

Option 4: 10 cm

Question : The sides of a triangle are 8 cm, 12 cm, and 16 cm. What is the area of the triangle?

Option 1: $24 \sqrt{15}~\text{cm}^2$

Option 2: $6 \sqrt{15}~\text{cm}^2$

Option 3: $8 \sqrt{15}~\text{cm}^2$

Option 4: $12 \sqrt{15}~\text{cm}^2$

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