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Project Work ofMathematicsNAME – TARUN SHARMA
CLASS – 10th BR.N. – 26
Submitted to – Mr. BIRBAL SIR
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 AREA
Curved 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)
VOLUME
Volume Of A Frustum:1/3 Пh(r 2+R 2+Rr)
Made by: Tarun Sharma
