Surface Area and Volume
Math ⇒ Geometry
Surface Area and Volume starts at 7 and continues till grade 12.
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See sample questions for grade 11
A closed box has a length of 10 cm, width of 8 cm, and height of 4 cm. What is its total surface area?
A cone has a base radius of 3 cm and a height of 4 cm. Find its volume.
A cube has a surface area of 150 cm2. What is the length of one side of the cube?
A cuboid has dimensions 7 cm, 8 cm, and 9 cm. Find its total surface area.
A cylindrical tank has a radius of 1.5 m and a height of 4 m. What is its capacity in liters? (1 m3 = 1000 liters)
A hemisphere has a radius of 7 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 10 cm and a base radius of 6 cm. What is its lateral surface area?
A right circular cylinder has a height of 8 cm and a base diameter of 6 cm. What is its total surface area?
A cylindrical tank has a radius of 1.5 m and a height of 4 m. What is its capacity in liters? (1 m3 = 1000 liters)
A solid metal sphere of radius 2 cm is melted and recast into a cylinder of height 2 cm. What is the radius of the cylinder?
The volume of a sphere is given by which formula?
(1) (4/3)πr3
(2) 4πr2
(3) (1/3)πr2h
(4) πr2h
Which of the following is NOT a unit of volume?
(1) cm3
(2) m2
(3) liter
(4) m3
Which of the following is the correct formula for the volume of a cone with base radius r and height h?
(1) πr2h
(2) (1/3)πr2h
(3) 2πrh
(4) (4/3)πr3
Which of the following solids has the greatest volume for a given surface area?
(1) Cube
(2) Sphere
(3) Cylinder
(4) Cone
A rectangular box has dimensions 4 cm, 5 cm, and 6 cm. Its volume is ______ cm3.
A right prism has a base area of 12 cm2 and a height of 5 cm. Its volume is ______ cm3.
The lateral surface area of a right circular cone is given by ______.
The volume of a cone is one-third the volume of a cylinder with the same base and height. True or False?
True or False: The surface area of a closed cylinder is given by 2πr(h + r).
