Question Bank
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If the total surface area of a sphere is equal to the curved surface area of a cylinder with same radius, what is the height of the cylinder in terms of its radius?
A triangular prism has a base perimeter of 24 cm and lateral surface area of 240 cm². Find its height.
The lateral surface area of a square pyramid is given by the formula (where 'a' is base side and 'l' is slant height):
Find the lateral surface area of a cuboid of length 5 cm, breadth 3 cm, and height 2 cm.
If the diameter of a sphere is 14 cm, what is its surface area?
The total surface area of a prism with an equilateral triangular base of side 'a' and height 'h' is:
Find the curved surface area of a hemisphere with diameter 21 cm.
A cylinder has a radius of 10 cm and height of 20 cm. If the height is doubled and radius is halved, the new CSA will be:
The area of the base of a cone is 154 cm² and its slant height is 10 cm. Find its TSA.
If a cube of 12 cm side is cut into 8 smaller cubes of equal volume, what is the surface area of one smaller cube?
The total surface area of a right circular cylinder is 231 cm². If its curved surface area is two-thirds of its total surface area, find the radius.
Find the surface area of a sphere whose volume is 4.5π cubic cm.
A road roller is cylindrical in shape. If its diameter is 1 m and length 1.4 m, what is the area it covers in 500 revolutions?
A cuboid has its length, breadth and height in the ratio 3:2:1 and its total surface area is 88 cm². Find its length.
The radius of a sphere is 21 cm. Find its surface area.
A cylinder has height 7 cm and radius 5 cm. Find its total surface area.
The TSA of a cube is 24 sq. units. What is the side of the cube?
The diagonal of a face of a cube is 4*sqrt(2) cm. What is the total surface area of the cube?
Area of base of a square pyramid is 36 sq. cm. If its slant height is 4 cm, what is its lateral area?
Which shape provides the maximum volume for a fixed surface area?