Surface Areas And Volumes 1t39g

SURFACE SURFACE AREAS AREAS AND AND VOLUMES VOLUMES RADHIKA BHARADWAJ X-B

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ACKNOWLEDGEMENT I would like to thank my maths teachers Mrs. Charu and Mrs.renu bhatia for guiding me and helping me at each step. I would also like to thank my parents and sister for their constant help and .

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INTRODUCTION SURACE AREAS Surface area is the measure of how much exposed area asolid has, expressed in square units. mathematical calculation of surface areas is based on methods of infinitesimal calculus and involves partial derivations and double integration. Hence, the term surface arearefers to a total area of the exposed surfaceof a three dimentional solid

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VOLUMES Volume of any solid ,liquid is how much three dimentional space it occupies often quantified numerically.volumes of some simple shapes can be easily calculated using some simple arithmetic formulas

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NEED FOR FINDING SURFACE AREAS AND VOLUMES In almost every sphere of our daily life we use surface areas and volumes. From deg to construction of buildings to finding amount of a substance required for making a particular thing. In construction work finding surface areas and volumes helps a lot in planning(how much to buy) and costs(how much to charge) in connection to things such as wallboards , shingles and paint Volumes can be used to find how many goods can be put in a lorry or a godown. At the same time it helps us know how much liquid can come in a tank. 5

CASE STUDY My project revolves around role played by surface areas and volumes in construction work. A businessman has just brought a plot of land .he wants to find the approximate amountof money he would be requiring to build the house.

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THINGS TO BE BUILT • The house has the following components to be constructed • 4 living rooms • 4 bathrooms • 1 dining room • 1 kitchen • 1 swimming pool • Area where grass can be plotted and cost of planting the grass

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Formulas used 1. 2. 3. 4. 5. 6. 7.

Surface area of cuboid :2(lb+bh+lh) Surface area of cube : 6(side)(side) Surface area ofcylinder (curved) (2)22/7 (r)(r)(h) Surface area of cylinder (total):(2)22/7 (r)(r+h) Volume of cuboid : lbh Volume of cylinder : 22/7(r)(r)(h) Volume ofcube : A^3

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THE HOUSE TO BE MADE

Next Steps • Summarize any actions required of your audience • Summarize any follow up action items required of you

SWIMMING POOL

AREA WHERE GRASS IS TO BE PLOTTED 9

BATHROOM Length :10m

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Length :10m Breadth:3m Height:4m Surface area:164 m(m) Total cost of plastering and bricks :Rs.178192.75

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KITCHEN • • • •

Length :10m Breadth :3m Height :4m Surface area : 161.1998m^2 • Cost :Rs.166147

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DINING ROOM • • • •

Length :15m Breadth:5m Height:5m Total cost:Rs223044

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LIVING ROOMS • • • •

Length :10m Breadth:5m Height:4m Total cost of making rooms:Rs.408309

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SWIMMING POOL • • • • •

Length :7m Breadth:5m Depth:4m Volume:140000 L Cost :Rs170250

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GARDEN • • • •

Length:4m Breadth:4m Area:16m Cost of grass:112Rs

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FENCING • Length of plot : 20m • Breadth of plot : 15m • Area to be fenced:70m • Cost:Rs.1050

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WATER TANK • Height:3m • Radius:1m • Capacity :9428 L

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TOTAL COST Total cost of making the house: Cost of making rooms + cost of making garden + cost of making swimming pool +cost of fencing +cost of water tank

Rs.9997786.25

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CONCLUSION Hence we can see how much importance surface areas and volumes plays in our life I hope you will appreciate my efforts Thank you!!

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THANK YOU

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