Volume Surface-Area- Facts & Formulae
- Cuboid:
Let length = l, breadth = b & height = h units Then,
- Volume = (l x b x h) cu units
- Surface Area = 2 (lb + bh + hl) sq. units
- Diagonal = √ l^{ 2} +b^{2} +h^{2} units
- Cube:
Let each edge of a cube be of length a. Then,
- Volume = a^{ 3} cu units
- Surface Area = 6a^{ 2} sq. units
- Diagonal = √ 3 x a units
- Cylinder:
Let radius of base = r & height (or length) = h. Then,
- Volume = (∏r^{ 2}h) cu. units
- Curved Surface Area = (2∏rh) sq. units
- Total Surface Area = 2∏r(r + h) sq. units
- Cone:
Let radius of base = r & height = h. Then,
- Slant height, l = √ h^{ 2}+r^{ 2} units
- Volume = (⅓∏r^{ 2}h) cu. units
- Curved Surface Area = (∏rl) sq. units
- Total Surface Area = ∏r(r + l) sq. units
- Sphere:
Let the radius of the sphere be r. Then,
- Volume = (4/3 ∏r^{ 3}) cu. units
- Surface Area = (4∏r^{ 2}) sq. units
- Hemi-sphere:
Let the radius of the sphere be r. Then,
- Volume = (2/3 ∏r^{ 3}) cu. units
- Curved Surface Area = (2∏r^{ 2}) sq. units
- Total Surface Area = (3∏r^{ 2}) sq. units