- CUBOIDLet length =
*l*, breadth =*b*and height =*h*units. Then- Volume = (
*l*x*b*x*h*) cubic units. - Surface area = 2(
*lb*+*bh*+*lh*) sq. units. - Diagonal =
*l*^{2}+*b*^{2}+*h*^{2}units.

- CUBELet each edge of a cube be of length
*a*. Then,- Volume =
*a*^{3}cubic units. - Surface area = 6
*a*^{2}sq. units. - Diagonal = 3
*a*units.

- CYLINDERLet radius of base =
*r*and Height (or length) =*h*. Then,- Volume = (
*r*^{2}*h*) cubic units. - Curved surface area = (2
*rh*) sq. units. - Total surface area = 2
*r*(*h*+*r*) sq. units.

- CONELet radius of base =
*r*and Height =*h*. Then,- Slant height,
*l*=*h*^{2}+*r*^{2}units. - Volume =
*r*^{2}*h*cubic units. - Curved surface area = (
*rl*) sq. units. - Total surface area = (
*rl*+*r*^{2}) sq. units.

- SPHERELet the radius of the sphere be
*r*. Then,- Volume =
*r*^{3}cubic units. - Surface area = (4
*r*^{2}) sq. units.

- HEMISPHERELet the radius of a hemisphere be
*r*. Then,- Volume =
*r*^{3}cubic units. - Curved surface area = (2
*r*^{2}) sq. units. - Total surface area = (3
*r*^{2}) sq. units.Note: 1 litre = 1000 cm^{3}.

# Volume and Surface Area - Important Formulas |Aptitude

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