3D Solids as an Extension of 2D Figures
The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, then V2 is equal to :
(i) The lateral or curved surface area of a closed cylindrical petrol storage tank that is 4.2 m in diameter and 4.5 m high.
(ii) How much steel was actually used, if 112 of the steel actually used was wasted in making the tank?
A small indoor greenhouse is made entirely of glass panes held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. How much of tape is needed for all the 12 edges?
- cylinder and cone
- frustum and a cylinder
- frustum and cuboid
- cylinder and hemisphere
- None of the above
There is a thin metal plate of length and breadth 2M mm and 2K mm respectively. Its thickness is 1 mm. If ‘N′ number of plates are placed one on top of the other, what is the object formed and what is its volume in mm3?
None of these
The cross section of a cylinder is
703.36 Cubic Centimeters
603.26 Cubic Centimeters
735 Cubic Centimeters
782 Cubic Centimeters
The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that V2=xyz.
The number of cubes of side 3 cm that can be cut from a cuboid of dimensions 9 cm × 9 cm × 6 cm, is: