Surface Area – The measure of the total area that the object occupies. Which is the collective sum of all areas of different areas of the object. Example Cube has 6 faces each face having an area of side2 , thus surface area is 6* side2.
- Lateral Surface Area
- The sum of areas of all surfaces excluding top and bottom.
- Total Surface Area
- The sum of areas of all surfaces including top and bottom.
Surface Area Visualization
Cuboidal – Above cuboidal has 6 faces and dimensions as L, B, H – Length, Breadth, Height.
The Lateral Surface Area is the area in yellow + purple color.
The Total Surface Area is area in yellow + purple + red color.
List Of Common Used Surface Area Shapes.
| Shapes | Lateral Surface Area | Total Surface Area |
| Cube | 4a2 | 6a2 |
| Cuboidal | 2h(l+b) | 2(lb+bh+hl) |
| Cone | πrl | πr(r+l) |
| Cylinder | 2πrh | 2πr(h+r) |
| Cylinder Hollow | 2πh(r1+r2) | 2πh(r1+r2) + 2π(r12-r22) |
| Shpere | 4πr2 | 6πr2 |
| Hemisphere | 2πr2 | 3πr2 |
| Hemisphere Hollow | 2π(r12+r22) | 2π( r12+r22 ) + π(r12-r22) |
| Prism | perimeter of base x height | LSA + 2( Area of base) |
| Pyramid | 1/2 (perimeter of base x slant height) | LSA + ( Area of base) |
OTHER TOPICS
- NUMBER SYSTEM
- PERIMETER, AREA, VOLUME