Question:
The Neuman company is designing a new container for its marbles.The container must have a volume of 200 cm^3 .Sketch 3 possible containers and calculate each volume .Explain which container you would recommended.
Answer:
When a is length,b is width,c is height
V=200cm^3
V=a*b*c
S=2(b*c)+2(a*c)+(b*a)
1) When a=4,b=10,c=5
V=4*10*5=200 , S=2(10*5)+2(4*5)+(10*4)=100+40+40=180 cm^2
2) When a=5,b=10,c=4
V=5*10*4=200 , S=2(10*4)+2(5*4)+(10*5)=80+40+50=170 cm^2
3)When a=b=c=cuberoot 200=5.85
S=2(5.85*5.85)+2(5.85*5.85)+(5.85*5.85)=68.4+68.4+34.22=171 cm^2
When we compare all 3 options ,we see that #2 is more economical than the other 2 ways,because with the same volume, this container uses less material .
The Neuman company is designing a new container for its marbles.The container must have a volume of 200 cm^3 .Sketch 3 possible containers and calculate each volume .Explain which container you would recommended.
Answer:
When a is length,b is width,c is height
V=200cm^3
V=a*b*c
S=2(b*c)+2(a*c)+(b*a)
1) When a=4,b=10,c=5
V=4*10*5=200 , S=2(10*5)+2(4*5)+(10*4)=100+40+40=180 cm^2
2) When a=5,b=10,c=4
V=5*10*4=200 , S=2(10*4)+2(5*4)+(10*5)=80+40+50=170 cm^2
3)When a=b=c=cuberoot 200=5.85
S=2(5.85*5.85)+2(5.85*5.85)+(5.85*5.85)=68.4+68.4+34.22=171 cm^2
When we compare all 3 options ,we see that #2 is more economical than the other 2 ways,because with the same volume, this container uses less material .
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