VOLUME & SURFACE AREA OF THE SOLIDS –
Solids – Any shape of bodies or object occupying space is considered as solid. The solid bodies occur in various shapes, such as cuboid , a cube, a cylinder, a cone, and a sphere, etc.
Cuboid – A rectangular solid bounded by six rectangular plane faces is called a cuboid. A match box, a chalk box, a brick, a block, a book, etc., are all examples of a cuboid. A cuboid has 6 rectangular faces, 12 edges and 8 vertices. Let us considered a cuboid of length = l units, breadth = b units, and height = h units.
Volume of a Cuboid –
The space enclosed by a cuboid is called its volume.
Volume of cuboid = (l X b X h) cubic units
Example.) Find the volume of a rectangular solid 10 m long, 5 m broad, and 70 cm high.
Ans.) As per the formulae, volume of the cuboid = (l X b X h) cubic units
Here, h = ------- m [100 cm = 1 m, so 1 cm = 1/100 m]
= 0.70 m
l = 10 m, b = 5 m
now, according to the formulae -
(l X b X h) cubic unit = (10 X 5 X 0.70) m³ = 35 m³ (Ans.)