Question

A carton measuring 72 cm by 48 cm by 75 cm was packed with cylindrical tins of radius 6cm and height 15 cm standing upright. How many tins were there in the carton

Answer 1

Answer:

Volume of a cuboid =(Length×Breadth×Height) cubic units

Total surface area =2(lb+bh+lh) sq units

Lateral surface area =[2(l+b)×h] sq units

(i) Length = 22 cm, breadth = 12 cm, height = 7.5 cm

Volume =(Length×Breadth×Height) = (22×12×7.5)=1980 cm3

Total surface area =2(lb+bh+lh)= 2[(22×12)+(22×7.5)+(12×7.5)]=2[264+165+90]=1038 cm2

Lateral surface area =[2(l+b)×h]=2(22+12)×7.5=510 cm2

(ii) Length = 15 m, breadth = 6 m, height = 9 dm = 0.9 m

Volume =(Length×Breadth×Height) = (15×6×0.9)=81 m3

Total surface area=2(lb+bh+lh) = 2[(15×6)+(15×0.9)+(6×0.9)]=2[90+13.5+5.4]=217.8 m2

Lateral surface area =[2(l+b)×h]=2(15+6)×0.9=37.8 m2

(iii) Length = 24 m, breadth = 25 cm = 0.25 m, height = 6 m

Volume =(Length×Breadth×Height) = (24×0.25×6)=36 m3

Total surface area=2(lb+bh+lh) = 2[(24×0.25)+(24×6)+(0.25×6)]=2[6+144+1.5]=303 m2

Lateral surface area =[2(l+b)×h]=2(24+0.25)×6=291 m2

(iv) Length = 48 cm = 0.48 m, breadth = 6 dm = 0.6 m, height = 1 m

Volume =(Length×Breadth×Height) = (0.48×0.6×1)=0.288 m3

Total surface area =2(lb+bh+lh)= 2[(0.48×0.6)+(0.48×1)+(0.6×1)]=2[0.288+0.48+0.6]=2.736 m2

Lateral surface area =[2(l+b)×h]=2(0.48+0.6)×1=2.16 m2

Step-by-step explanation:

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