Mensuration | Solid Figures

Practice Mensuration | Solid Figures on Bissoy — browse topics below and open any question.

Questions

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?

How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?

What is the diameter (in cm) of a sphere of surface area 154 sq cm?

Area of 4 walls of a cuboid is 448 sq cm, its length is 18 cm and height is 8 cm. What is its breadth (in cm)?

What is the diameter (in cm) of a sphere of surface area 6.16 sq cm?

Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

The height of a cone is 24 cm and the area of the base is 154 cm2. What is the curved surface area (in cm2) of the cone?

A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface area (in cm2) of each part?

The radius and height of a solid cylinder are increased by 2% each. What will be the approximate percentage increase in volume?

A sphere of radius 21 cm is cut into 8 identical parts by 3 cuts (1 cut along each axis). What will be the total surface area (in cm2) of each part?

A solid cube is cut into 27 identical cubes. What is the percentage increase in the total surface area?

If a cylinder of radius 7 cm and height 9 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

A cone of height 12 cm and diameter 10 cm is mounted on a hemisphere of the same diameter. What is the volume of the solid thus formed?

A hexagonal prism has 18 edges. How many vertices does it have?