QNO 1 :- Solve each part of the Surface and volume indetail a) A solid pyramid o

Question

QNO 1 :- Solve each part of the Surface and volume indetail a) A solid pyramid of height 40cm with a square base ofsides 30 cm each is put into a cubical tank of sides 40cm each .The tank is then filled with water. If the pyramid is removed ,find the dept of water in the tank. b) A nickel pyramidal paper waeigh has a square base of sides5cm and a height of 3cm . what is the mass of a dozen such paper ifthe mass of 1cm 3 of nickel is 8.9g ? QNO 1 :- Solve each part of the Surface and volume indetail a) A solid pyramid of height 40cm with a square base ofsides 30 cm each is put into a cubical tank of sides 40cm each .The tank is then filled with water. If the pyramid is removed ,find the dept of water in the tank. b) A nickel pyramidal paper waeigh has a square base of sides5cm and a height of 3cm . what is the mass of a dozen such paper ifthe mass of 1cm 3 of nickel is 8.9g ? a) A solid pyramid of height 40cm with a square base ofsides 30 cm each is put into a cubical tank of sides 40cm each .The tank is then filled with water. If the pyramid is removed ,find the dept of water in the tank. b) A nickel pyramidal paper waeigh has a square base of sides5cm and a height of 3cm . what is the mass of a dozen such paper ifthe mass of 1cm 3 of nickel is 8.9g ?

Explanation / Answer

a) Volume of a pyramid=Bh/3 where B=area of the base andh=height     B=(30 cm)2=900 cm2     Vpyramid=(900 cm2)(40cm)=36000 cm3     Volume of cube=s3     Vcube=(40 cm)3=64000cm3      Vpyramid+Vwater=Vcube    Vwater=Vcube-Vpyramid=(64000-36000)cm3=28000 cm3     If the pyramid is removed, water will assume ashape of a rectangular prism with B=900 cm2     28000 cm3=900cm2*h     h=28000/900 cm=31.1 cm

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