Surface Area and Volume

Math ⇒ Geometry

Surface Area and Volume starts at 7 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Surface Area and Volume. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

A closed box with a square base and height h has a surface area of 600 cm². If the base side is x cm, express the volume in terms of x and h.

A cone has a base radius of 4 cm and a height of 9 cm. Find its volume.

A cube has a surface area of 150 cm². What is the length of one side of the cube?

A cube has a volume of 64 cm³. What is its surface area?

A cuboid has dimensions 8 cm, 6 cm, and 4 cm. What is its total surface area?

A cylindrical tank has a radius of 3 m and a height of 7 m. What is its volume in cubic meters?

A hemisphere has a radius of 5 cm. What is its curved surface area?

A rectangular tank is 2 m long, 1.5 m wide, and 1 m high. How many liters of water can it hold? (1 m³ = 1000 liters)

A right circular cone has a slant height of 13 cm and a base radius of 5 cm. Find its height.

A right circular cylinder has a height of 10 cm and a base radius of 5 cm. Calculate its total surface area.

A right prism has a base area of 30 cm² and a height of 12 cm. What is its volume?

A solid metal sphere of radius 6 cm is melted and recast into small spheres of radius 2 cm each. How many small spheres are formed?

A sphere has a volume of 288π cm³. What is its radius?

If the height and radius of a cone are both doubled, by what factor does its volume increase?

If the height of a cylinder is doubled while keeping the radius constant, how does its volume change?

If the radius of a sphere is doubled, by what factor does its volume increase?

The surface area of a cube is 54 cm². What is the length of one side?

What is the formula for the surface area of a sphere of radius r?

A cylindrical hole of radius 2 cm is bored through the center of a solid sphere of radius 5 cm. Find the volume of the remaining solid, correct to two decimal places. (Use π = 3.14)

A cylindrical vessel with internal radius 7 cm is filled with water to a height of 20 cm. If all the water is poured into a rectangular tank of length 28 cm and width 14 cm, what will be the height of water in the tank?