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
r – Radius of cylinder
h – Height
Surface area of right cylinder (SA) = 2 π r2 + 2 π r h square units
r – Radius
h – Height
Cone:
cone
Volume of the cone (v) = [1/3] π r2 h cubic units
v - Volume of cone
r – Radius
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
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The oil glass bottle is made up of three trapezium prisms and a half sphere. So to find the volume of the oil glass bottle you would need to find the volume of all three truncated cones and the volume of the half sphere and plus them all together. To find the volume of the truncated cones, you need to use the formula V = π [s (R + r) + R2 + r2], this will give you the volume for all the truncated cones. Also to find the volume of the half sphere is two-thirds times pi times radius3 (2/3 x π x r3). Once these volumes have been found and plus together, you would receive the volume of the oil glass bottle.
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