Question : If the sum of three dimensions and the total surface area of a rectangular box are 12 cm and 94 cm² respectively, then the maximum length of a stick that can be placed inside the box is:

Option 1: $5\sqrt2$ cm

Option 2: $5$ cm

Option 3: $6$ cm

Option 4: $2\sqrt5$ cm

Question : What is the total surface area of a cuboid whose length, breadth, and height are 7 cm, 5 cm, and 9 cm, respectively?

Option 1: 190 cm²

Option 2: 403 cm²

Option 3: 286 cm^2,

Option 4: 386 cm²

Question : A hemisphere has a 42 cm diameter. Find its curved surface area and the total surface area.

Option 1: 2772 cm² and 4158 cm²

Option 2: 3772 cm² and 5158 cm²

Option 3: 4770 cm² and 4238 cm²

Option 4: 3072 cm² and 4058 cm²

Question : The total surface area of a right circular cylinder is 1848 cm². The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take $\pi=\frac{22}{7}$)

Option 1: 4312 cm³ 

Option 2: 3696 cm³ 

Option 3: 4002 cm³ 

Option 4: 4851 cm³ 

Question : The total surface area of a regular triangular pyramid with each edge of length 1 cm is:

Option 1: $4 \sqrt{3}$ cm²

Option 2: $\frac{4}{3} \sqrt{3}$ cm²

Option 3: $\sqrt{3}$ cm²

Option 4: $4$ cm²

Question : The ratio of the length and breadth of a rectangular parallelepiped is 5 : 3 and its height is 6 cm. If the total surface area of the parallelepiped is 558 cm². then its length (in dm) is:

Option 1: 9

Option 2: 1.5

Option 3: 10

Option 4: 15