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Presentation Transcript

Slide 1: 

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 = 4r2 Note this is the area of 4 circles with radius r. The formula for the volume of a sphere is V = 4/3r3

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