Thursday

April 24, 2014

April 24, 2014

Posted by **Megan** on Friday, July 8, 2011 at 10:02am.

--any help would be very appreciated--

- calculus -
**Reiny**, Friday, July 8, 2011 at 10:39amlet the base by x by x and the height y

(make a sketch)

surface area = x^2 + 4xy

x^2 + 4xy = 60

y = (60- x^2)/(4x)

volume= x^2(y) = x^2(60-x^2)/(4x)

= 15x - (1/4)x^3

d(volume)/dx = 15 - (3/4)x^2

= 0 for a max of volume

(3/4)x^2 = 15

x^2 = 20

x = √20

so max volume = 15√20 - (1/4)20√20 = 10√20 or 20√5

- calculus -
**Reiny**, Friday, July 8, 2011 at 11:00amlet the base by x by x and the height y

(make a sketch)

surface area = x^2 + 4xy

x^2 + 4xy = 60

y = (60- x^2)/(4x)

volume= x^2(y) = x^2(60-x^2)/(4x)

= 15x - (1/4)x^3

d(volume)/dx = 15 - (3/4)x^2

= 0 for a max of volume

(3/4)x^2 = 15

x^2 = 20

x = √20

so max volume = 15√20 - (1/4)20√20 = 10√20 or 20√5

- calculus -
**Megan**, Friday, July 8, 2011 at 11:33amthank you very much

**Related Questions**

Calculus - A rectangular box is to have a square base and a volume of 20 ft3. If...

Calculus - AM having problems understanding what equations to use for this word...

calculus - A rectangular box is to be constructed from two different materials. ...

Calculus - A rectangular box with square base (which is NOT necessarily a cube) ...

Calc 1 (Optomization) - A rectangular storage container with an open top is to ...

calculus - a rectangular box is to have a square base and a volume of 20 ft ...

Calculus - A rectangular box with a square base and top is to be made to contain...

calculus - A container with square base, vertical sides, and open top is to be ...

calculus - A small dog shelter in the shape of a rectangular solid is to have a ...

Calculus - A rectangular box is to have a square base and a volume of 20 ft3. ...