Revisiting Surface Area and Volumes

Volume of Cuboid - formula

Volume of Cuboid

= l \times b \times h

l =

length of cuboid

b =

breadth of cuboid

h =

height of the cuboid.

Surface Area of Cuboid - formula

Surface Area of Cuboid

= 2 (l b + b h + h l)

where

l =

length of cuboid

b =

breadth of cuboid

h =

height of cuboid

Volume of Cube - formula

Volume of cube

= a^{3}

where,

a =

side of the cube.

Total Surface Area of Cube - formula

Total Area of Cube

= 6 a^{2}

a

is the side of the cube.

Surface Area of Cylinder - formula

Curved Surface Area = 2 π r h

Plane Surface Area = 2 π r^{2}

Total Surface Area = 2 π r (r + h)

where,

’r’ is radius of the base and ’h’ is the height

Volume of Cylinder - formula

Volume of Cylinder

= π r^{2} h

r =

radius of the cylinder

h =

height of the cylinder

Volume of Hollow Cylinder - definition

Volume of Hollow Cylinder

= π \times h ((r_{1})^{2} - (r_{2})^{2})

r_{1} =

outer radius

r_{2} =

inner radius

Surface Area of Cone - formula

Cone

Plane Surface Area = π r^{2}

l^{2} = r^{2} + h^{2}

Curved Surface Area = π \times r \times l

Total Surface Area = π r l + π r^{2} = π r (r + l)

where,

’r’ is the radius of the base

’l’ is the slant height

’h’ is the perpendicular height

Volume of Cone - formula

Volume of Cone

= \frac{1}{3} π r^{2} h

r =

radius of the cone.

h =

height of the cone.

Surface Area of Sphere - formula

Surface Area of Sphere

= 4 π r^{2}

where ,

r =

radius if the sphere

Volume of Sphere - formula

Volume of Sphere

= \frac{4}{3} π r^{3}

r

is the radius of the sphere.

Volume of Hemisphere - formula

Volume of Hemisphere

= \frac{2}{3} π r^{3}

Volume of Cuboid - formula

Surface Area of Cuboid - formula

Volume of Cube - formula

Total Surface Area of Cube - formula

Surface Area of Cylinder - formula

Volume of Cylinder - formula

Volume of Hollow Cylinder - definition

Surface Area of Cone - formula

Volume of Cone - formula

Surface Area of Sphere - formula

Volume of Sphere - formula

Volume of Hemisphere - formula

Related questions

If the total surface area of a solid hemisphere is $462 c m^{2}$ , them find its volume.

What will happen to the volume of the cube, if its edge is (a) tripled (b) reduced to one-fourth ?

The radius of the cylinder whose lateral surface area is $704 c m^{2}$ and height $8$ cm is

Two cubes of side $6 c m$ are joined end to end to form a cuboid. Then the volume of the resulting cuboid in $c m^{3}$ is

Find the height of cylinder if radius of base is $7 c m$ and volume is $1540 c m^{2}$

If two cubes of dimensions 2 cm by 2 cm by 2 cm are placed side by side, what would the dimensions of the resulting cuboid ?

A joker 's cap is in the form of a right circle cone of base radius $7 c m$ and height $24 c m$ . Find the area of the sheet required to make $10$ such caps.

Find the volume and total surface area of a cube whose edge is:
8 cm

A right triangle with sides 5 cm 12 cm and 13 cm is revolved about the side 12 cm Find the volume of the cone thus formed

A cubicalblock of wood was cut into 8 equal cubes of sides $4 c m$ . What is the volume of the block of the wood?

Volume of Cuboid - formula

Surface Area of Cuboid - formula

Volume of Cube - formula

Total Surface Area of Cube - formula

Surface Area of Cylinder - formula

Volume of Cylinder - formula

Volume of Hollow Cylinder - definition

Surface Area of Cone - formula

Volume of Cone - formula

Surface Area of Sphere - formula

Volume of Sphere - formula

Volume of Hemisphere - formula

Related questions

If the total surface area of a solid hemisphere is 462 cm2, them find its volume.

What will happen to the volume of the cube, if its edge is (a) tripled (b) reduced to one-fourth ?

The radius of the cylinder whose lateral surface area is 704cm2 and height 8 cm is

Two cubes of side 6cm are joined end to end to form a cuboid. Then the volume of the resulting cuboid in cm3 is

Find the height of cylinder if radius of base is 7cm and volume is 1540cm2

If two cubes of dimensions 2 cm by 2 cm by 2 cm are placed side by side, what would the dimensions of the resulting cuboid ?

A joker 's cap is in the form of a right circle cone of base radius 7cm and height 24cm. Find the area of the sheet required to make 10 such caps.

Find the volume and total surface area of a cube whose edge is: 8 cm

A right triangle with sides 5 cm 12 cm and 13 cm is revolved about the side 12 cm Find the volume of the cone thus formed

A cubicalblock of wood was cut into 8 equal cubes of sides 4cm. What is the volume of the block of the wood?

If the total surface area of a solid hemisphere is $462 c m^{2}$ , them find its volume.

The radius of the cylinder whose lateral surface area is $704 c m^{2}$ and height $8$ cm is

Two cubes of side $6 c m$ are joined end to end to form a cuboid. Then the volume of the resulting cuboid in $c m^{3}$ is

Find the height of cylinder if radius of base is $7 c m$ and volume is $1540 c m^{2}$

A joker 's cap is in the form of a right circle cone of base radius $7 c m$ and height $24 c m$ . Find the area of the sheet required to make $10$ such caps.

Find the volume and total surface area of a cube whose edge is:
8 cm

A cubicalblock of wood was cut into 8 equal cubes of sides $4 c m$ . What is the volume of the block of the wood?