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 solid has a base area of 20 cm2 and a height of 10 cm. If it is a prism, what is its volume?
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?
A sphere has a volume of 36π cm3. What is its radius?
Calculate the volume of a cylinder with a base radius of 5 cm and a height of 10 cm.
Describe how the surface area of a cylinder changes if both the radius and height are doubled.
Explain the difference between lateral surface area and total surface area of a prism.
If the height of a cone is doubled and the radius remains the same, how does the volume change?
If the surface area of a cube is 54 cm2, what is the length of one side?
If the surface area of a sphere is 100π cm2, what is its radius?
If the volume of a cube is 64 cm3, what is its surface area?
The surface area of a cube is 294 cm2. Find the length of one side.
