Surface Area and Volume Formulas

Cube – Surface Area and Volume Formulas

Cube

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

Cuboid

Here,

l = length

b = breadth

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

Cylinder

Here,

r = radius

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

Cone

Here,

h = height

r = radius

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

Sphere

Here, r = radius

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

hemisphere

Here, r = radius

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

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