Surface areas and volumes

Surface areas and volumes

CONTENTSConeCuboid cubeCylinderSphereHemispherefrustum

ACKNOWLEDGEMENTI , Tarun Sharma of class x-c, completed this power point presentation about SURFACE AREAS AND VOLUMES under the guidance and supervision of Mr. Birbal Sir with a lots of useful and valuable formulae and geometric 3Dimensional shapes.

CONE

Curved Surface Area of a cone: Пrs

Total Surface Area of a cone: Пrs

+Пr2

Surface area

Volume of a cone: 1/3 Пr 2h

volume

CUBOID

Surface area

Total Surface Area of a Cuboid: 2(lb +bh +lh)

Curved Surface Area of a Cuboid: 2(bh +lh)

VOLUME

Volume of a Cuboid: length × breadth × height

CUBE

Surface area

Curved surface area of a cube:=4×side2

Total surface area of a cube:=6×side2

VOLUME

Volume of a cube:side3

CYLINDER

Surface area

Curved surface area: 2Пrh

Total surface area: Пrh +2Пr2

=2Пr(h+r)

VOLUME

Volume of a cylinder: Пr2h

Sphere

SURFACE AREA

Surface area of a sphere: 4Пr2

VOLUME

Volume of a sphere: 4/3Пr 3

Hemisphere

SURFACE AREA

Curved surface area of a hemisphere:2Пr 2

Total surface area of a hemisphere:3Пr 2

VOLUME

Volume of A cube:2/3 Пr 3

FRUSTUM

SURFACE AREACurved Surface Area Of A Frustum:

П(r+R)l

Total Surface Area Of A Frustum:

П(r+R)l + Пr 2 + ПR 2

=П(r+R)l + П(r 2+ R2)

VOLUMEVolume Of A Frustum:

1/3 Пh(r 2+R 2+Rr)