 # Three Dimensional Shapes

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Introduction about online 3 dimensional shapes:

In geometry the three dimensions are known as length, width and height or any three perpendicular directions can act as 3D. The basic three dimensional shapes are listed below. In online students can get the help about three dimensional shapes. Students can get the formulas and example problems in online. In this article we shall see how to calculate the volume and surface area of three dimensional shapes.

Online 3 dimensional shapes lesson help – Formulas:

Cube:

cube

Volume of the cube (v) = a3 cubic units

a – side length

Surface area of cube (SA) = 6a2 square units

a – side length

Cylinder:

cylinder

The volume of the cylinder (v) = π x r2 x h cubic unit

h – Height

Surface area of right cylinder (SA) = 2 π r2 + 2 π r h square units

h – Height

Cone:

cone

Volume of the cone (v) = [1/3] π r2 h cubic units

v - Volume of cone

h – Height

Surface area of cone (A) = lateral surface area of cone + area of base

= π r s + π r2 square unit

s – Slant height

Online 3 dimensional shapes lesson help ...

... middle of paper ...

....78 cm3

Total surface area:

Total Surface area of cone (A) = lateral surface area of cone + area of base

Lateral surface area (L.S.A) = π r s square unit.

Substitute the r and s value in formula and simplify,

= π x 8 x 17.8

= 3.14 x 8 x 17.8

= 447.136

Lateral surface area (L.S.A) = 447.136 cm2

Area of base = π r2

= 3.14 x 102

Area of base = 314 cm2

Total Surface area of cone (A) = lateral surface area of cone + area of base

= 447.13 + 314

= 761.13 cm2