Introduction:
The term 'Volume' refers to the space occupied by the figures in 'three dimensions'Eg Cube,cuboid,Cone,Cylinder,Sphere etc.
Volume of a combination of solids:
The volume of the solid formed by joining two basic solids will actually be the sum of the volumes of the constituents.
Total Surface Area:
The total surface area of a solid is the sum of the curved surface area + the sum of the area of the smooth surface.
| Figure |
Volume |
Surface Area |
Others |
|
Rectangukar solid
|
$L\times B\times H$ |
$2(LB+LH+BH)$ |
Area of 4 walls $=2(L+b)\times H3m$
Diagonal $=\sqrt{L^{2}+B^{2}+H^{2}}$
|
|
Cube
|
$Side^{3}$ |
$6\times Side^{2}$ |
Diagonal $=\sqrt{3}\times side$
Sum of edges $=12\times side$
|
|
Right Circular Cylinder
|
$\pi r^{2}h$ |
Of sides $=2\pi rh$
Total Surface $=2\pi r(r+h)$
|
|
|
Sphere
|
$(\frac{4}{3})\times \pi r^{3}$ |
$4\pi r^{2}$ |
|
|
Cone
|
$(\frac{1}{3})\times \pi r^{2}h$ |
Of side $=\pi rl$
Total Surface $=\pi r^{2}+ \pi rl$
|
$h^{2}+r^{2}=l^{2}$ |
