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anonymous
 one year ago
A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $20 per square meter. Material for the sides costs $12 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.) I got $236.15 Im not sure if its right, could someone check my answer please!
anonymous
 one year ago
A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $20 per square meter. Material for the sides costs $12 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.) I got $236.15 Im not sure if its right, could someone check my answer please!

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misssunshinexxoxo
 one year ago
Best ResponseYou've already chosen the best response.2V=10m^3 l=2w 2w*w*h=V 2w^2*h=10m^3 h=10m^3/2w^2 Aside=2*h*2w+2*h*w=2h(2w+w)=6hw Aside=6w*10m^3/2w^2 Aside=30m^3/w Abottom=2w*w=2w^2 COST=12*aside+20*Abottom Cost=12*30m^3/w+40w^2 dcost/dw=12*30m^3/w^2+80w *SET DERIVATIVE TO ZERO* 12*30m^3/w^2=80w 12*30m^3/80=w^3 (12*30/80)^(1/3)=w 1.65096362m=w Cost=12*30m^3/w+40w^2 Cost=12*30/1.64096+40*1.65096^2 Cost=$327.08

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0i am going to stick to my answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I typed in the answer and got it right, so it is 327.08
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