Surface Area and Volume Formulas

Cube – Surface Area and Volume Formulas

Here,

a = side

Lateral Surface Area of a Cube – $4{ a }^{ 2 }$ sq units

Total Surface Area of a Cube – $6{ a }^{ 2 }$ sq units

Volume of a Cube – ${ a }^{ 3 }$ cubic units

Cuboid – Surface Area and Volume Formulas

Here,

l = length

h = height

Lateral Surface Area of a Cuboid – [2(l + b) x h] sq units

Total Surface Area of a Cuboid – 2(lb + bh + hl) sq units

Volume of a Cuboid – (l x b x h) cubic units

Cylinder – Surface Area and Volume Formulas

Here,

h = height

Curved Surface Area of a Cylinder – $2\pi { r }{ h}\quad sq\quad units$

Total Surface Area of a Cylinder – $2\pi { r }(h+r)\quad sq\quad units$

Volume of a Cylinder – $\pi { r }^{ 2 }h\quad cubic\quad units$

Cone – Surface Area and Volume Formulas

Here,

h = height

l = slant height

Curved Surface Area of a Cone – $\pi { r }{ l}\quad sq\quad units$

Total Surface Area of a Cone – $\pi { r }(l+r)\quad sq\quad units$

Volume of a Cone – $\cfrac { 1 }{ 3 } \pi { r }^{ 2 }h\quad cubic\quad units$

Sphere – Surface Area and Volume Formulas

Surface Area of a Sphere – $4\pi { r }^{ 2 }\quad sq\quad units$

Volume of a Sphere – $\cfrac { 4 }{ 3 } \pi { r }^{ 3 }\quad cubic\quad units$

Hemisphere – Surface Area and Volume Formulas

Curved Surface Area of a Hemisphere – $2\pi { r }^{ 2 }\quad sq\quad units$
Total Surface Area of a Hemisphere – $3\pi { r }^{ 2 }\quad sq\quad units$
Volume of a Hemisphere – $\cfrac { 2 }{ 3 } \pi { r }^{ 3 }\quad cubic\quad units$