### Volume and Surface Area – Important Formulas

*CUBOID*Let 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.

*CUBE*Let 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.

*CYLINDER*Let 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.

*CONE*Let 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.

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

*HEMISPHERE*Let 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}.