Sunday

November 23, 2014

November 23, 2014

Posted by **diwas** on Tuesday, November 13, 2012 at 10:06pm.

- math -
**Reiny**, Tuesday, November 13, 2012 at 10:44pmlength --- x

width --- y

height ---- 1.5y

1.5xy^2 = 2.4

x = 2.4/(1.5y^2) = 8/(5y^2)

Assuming the cost is a function of the surface area (SA)

SA = 2xy + 2(1.5xy) + 2(1.5y^2)

= 2xy + 3xy + 3y^2

= 5y((8/(5y^2) + 3y^2

= 8/y + 3y^2

d(SA)/dy = -8/y^2 + 6y = 0 for a min of SA

8/y^2 = 6y

6y^3 = 8

y^3 = 8/6

y = 2/6^(1/3) = 1.1006.. = appr 1.1

1.5y = 1.65

x = 8/(5(1.1006..)^2) = 1.32

so

length = 1.32

width = 1.1

height = 1.65

check: V = 1.32x1.1x1.65 = appr 2.3958 , close to 2.4, not bad

**Answer this Question**

**Related Questions**

honors algebra - the volume V of a rectangular prism is given by V=lwh, where l ...

6th grade - rectangular prism: height 7 feet, width 4 feet and length 3 feet ...

Algebra - Please help. I have tried many times to come up with something after ...

math - concrete can be purchased cubic yard. How much will it cost to pour a ...

MATH - Grady has designed a wooden storage cabinet for his CD's amd DVd's. The ...

math - rectangular prism with a volume of 72 cubic inches; sum of the 3 lengths ...

math - a storage room measures 11.35 feet in length by 9.5 feet in width by 8.3 ...

math - A storage room measures 14.25 feet in length by 12.5 feet in width by 8.4...

Calculus (Definite Integrals - Work) - Recall that work is defined to be force ...

mathFormula - Formula for calculating cubic feet. length(in feet) x width(in ...