Project work
maths Prepared By : Sunpreet Batra
Class IX, Roll No. 28

Slide 2:

Side 2 Bottom Back Top Side 1 Front Length (L) Breadth (B) Height (H) Cuboid

The net :

The net L L L L B H H H H L B B B B B H H

Slide 4:

Front face
20 cm2

Slide 5:

60 cm3 Volume = 4 cm x 5 cm x 3 cm = 60 cm3 20 cm3 40 cm3 Volume of a Cuboid

Slide 6:

Volume = 4 mm x 3 mm x 3 mm = 36 mm3 Volume = 2 cm x 7 cm x 6 cm = 84 cm3 36 mm3 36 mm3 84 cm3 84 cm3 Volume = 9 ft x 4 ft x 6 ft = 216 ft3 216 ft3 216 ft3 Volume l x w x h ? yards3

Slide 7:

H B L H B H L L L H B L H B H L L Total surface Area = L x H + B x H + L x H + B x H + L x B + L x B
= 2 LxB + 2BxH + 2LxH
= 2 ( LB + BH + LH ) Total surface Area

Slide 8:

Cube :

Cube Volume = Base area x height
= L x L x L
= L3 L L L Total surface area = 2LxL + 2LxL + 2LxL
= 6L2

Slide 10:

2(LxB + BxH + LxH) LxBxH Cuboid 6L2 L3 Cube Sample net Total surface area Volume Figure Name

Surface area of cylinders :

Surface area of cylinders Lateral area is the surface area minus the bases
Surface area includes both bases L.A. = 2 π r h
S.A. = L.A.+2π r2 = 2 π r h + 2π r2

Volume of cylinders :

Volume of cylinders Volume of right cylinder
Volume = base x height
= r2 h

What is a cone? :

What is a cone? …... …...

Volume of a cone :

Volume of a cone

Slide 15:

The Cone A Cone is a three dimensional solid with a circular base and a curved surface that gradually narrows to a vertex. Volume of a Cone
= + + =

Slide 16:

Find the area of a cone with a radius r=3 m and height h=4 m. Use the Pythagorean Theorem to find l
l 2 = r2 + h2
l 2= (3)2 + (4)2
l 2= 25
l = 5 Surface Area of a Cone Surface Area of a Cone
= pr2 + prl
= 3.14(3)2 + 3.14(3)(5)
= 75.36 m2 r = the radius h = the height l = the slant height

How to calculate the curved surface area ? :

How to calculate the curved surface area ? Cut here

Slide 18:

Curved surface area = πr l Curved surface area Curved surface area = Area of the sector Curved surface area = 1/2 ( l ) ( 2π r )
= π r l After cutting the cone,

Sphere :

Sphere r To picture the surface area of a sphere imagine peeling an orange and flattening
the peel on a table. The area covered would be the surface area of that sphere.
S = 4r2 Note this is the area of 4 circles with radius r. The formula for the volume of a sphere is
V = 4/3r3

Surface area & volume of spheres :

Surface area & volume of spheres Surface Area = 4 π r 2
Volume =

Find the Volume of a Sphere :

Find the Volume of a Sphere Find the volume of the hemisphere. Round your answer to the nearest whole number.
b. A hemisphere has half the volumeof a sphere. a 5 in.

Slide 22:

Thanks Reference : - NCERT Text Book, Class 9

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