quiz on Surface area and volume

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SURFACE AREA AND VOLUME

SURFACE AREA AND VOLUME

FORMULAS CUBOIDVolume= (lxbxh) cubic units.Surface area= 2(lb+bh+lh) sq. units.Diagonal=l2+b2+h2units.

CUBEVolume=a3cubic units.Surface area= 6a2sq. units.Diagonal=3aunits.

CYLINDERVolume= (r2h) cubic units.Curved surface area =(2rh) sq. units.Total surface area= 2r(h+r) sq. units.

CONESlant height,l=h2+r2units.Volume=r2hcubic units.Curved surface area= (rl) sq. units.Total surface area= (rl+r2) sq. units.SPHEREVolume=r3cubic units.Surface area= (4r2) sq. units.

HEMISPHEREVolume=r3cubic units.Curved surface area= (2r2) sq. units.Total surface area= (3r2) sq. units.Note: 1 litre = 1000 cm3.

Q1) An aquarium is a closed box with a length of 50 cm, a width of 40 cm, and a height of 30 cm. Find the surface area of this aquarium.

Q2) Surface Area is found by:

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Q3) In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

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Q4) A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

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Q5) 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

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Q6) A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

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Q7) What is the formula for the area of a trapazoid?

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Q8) What is the volume for a triangular prism?

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