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Surface areas and volumes - PowerPoint PPT Presentation

Surface areas and volumes. CONTENTS. Cone Cuboid cube Cylinder Sphere Hemisphere frustum. ACKNOWLEDGEMENT.

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Surface areas and volumes

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Surface areas and volumes

CONTENTS

• Cone

• Cuboid

• cube

• Cylinder

• Sphere

• Hemisphere

• frustum

ACKNOWLEDGEMENT

I, 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

Surface area

Curved Surface Area of a cone: Пrs

Total Surface Area of a cone: Пrs +Пr2

volume

Volume of a cone:

1/3 Пr 2h

CUBOID

Surface area

Curved Surface Area of a Cuboid:

2(bh +lh)

Total Surface Area of a Cuboid:

2(lb +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)