Mensuration (3D)

medium importance~2 Q in Tier 120 formulas⚡ 10 shortcuts5 subtopics

Exam-level questions worked step by step. Try each one yourself first — then expand the solution and compare routes.

Q1.

A room is 12 m long, 9 m wide and 8 m high. Find the length of the longest pole that can be placed inside the room.

Q2.

A cylindrical tank of radius 2 m and depth 7 m is full of water. The capacity of the tank is: [Use $\pi=\frac{22}{7}$ ]

Q3.

A solid metallic cone of radius 6 cm and height 3 cm is melted and recast into a sphere. The radius of the sphere is:

Q4.

If each edge of a cube increases by 10%, the percentage increase in its volume is: