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This pdf includes the formula of the following solid figures:-

Sphere

Cube

Rectangular Solid

Cylinder

Prisms: Parallel flat polygon top and bottom (bases)

Pyrimids

Sphere

Cube

Rectangular Solid

Cylinder

Prisms: Parallel flat polygon top and bottom (bases)

Pyrimids

1.
Volume & surface area of solid figures – sphere, cube, rectangular solid (box) with and without

top, cylinder, and cone.

Figure Volume Surface Area

Sphere 4 S = 4π r 2 ,

V = πr3 ,

3 r radius

r radius

Cube V = s 3 , s side S = 6s 2 , s side

Rectangular Solid V = A2 h , A2 is area of the

base, h height.

S = 2lw + 2lh + 2wh

V = lwh , l length, w width, h = 2(lw + lh + wh )

height. l length, w width, h height.

Cylinder V = π r 2 h , r radius, h height S= 2π r 2 + 2π rh

top & bottom lateral side

Prisms: Parallel flat V = A2 h , A2 is area of the Calculus topic – to come

polygon top and bottom base, h height.

Pyrimids (polygon base to a 1 Calculus topic – to come

point) V = Ah , A is area of the

3

base, h height.

1 2 Stotal = π r 2 + π r r 2 + h2 ,

V = π r h , r is the radius of

3 base area lateral area

the circular base, h height r +h

2 2

is slant height

top, cylinder, and cone.

Figure Volume Surface Area

Sphere 4 S = 4π r 2 ,

V = πr3 ,

3 r radius

r radius

Cube V = s 3 , s side S = 6s 2 , s side

Rectangular Solid V = A2 h , A2 is area of the

base, h height.

S = 2lw + 2lh + 2wh

V = lwh , l length, w width, h = 2(lw + lh + wh )

height. l length, w width, h height.

Cylinder V = π r 2 h , r radius, h height S= 2π r 2 + 2π rh

top & bottom lateral side

Prisms: Parallel flat V = A2 h , A2 is area of the Calculus topic – to come

polygon top and bottom base, h height.

Pyrimids (polygon base to a 1 Calculus topic – to come

point) V = Ah , A is area of the

3

base, h height.

1 2 Stotal = π r 2 + π r r 2 + h2 ,

V = π r h , r is the radius of

3 base area lateral area

the circular base, h height r +h

2 2

is slant height