## 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! • This Question is Closed 1. misty1212 HI! 2. triciaal |dw:1436037958423:dw| 3. misty1212 i got$206 not $236 but i could have made a mistake 4. misty1212 if you call the length of the base x and the height h, then via $2x^2h=10$ you get $h=\frac{5}{x^2}$ 5. misty1212 i got for the total cost $40x^2+36xh$ which when substuting gives $40x^2+\frac{180}{x}$ 6. misty1212 but like i said, i did it rather quickly so i might have made an error 7. anonymous Someone just showed me all of the work and got$327.08 but thank you!

8. misty1212

you sure it is right?

9. triciaal

base area = 2w^2 height = like Misty1212 = 5/w^2

10. anonymous

yeah it was right, I typed it in and it is 327.08

11. triciaal

area of the sides = perimeter * height = 2(l + w) *h 6w*5/w^2 = 30/w