Tuesday

October 21, 2014

October 21, 2014

Posted by **kieran** on Monday, October 1, 2012 at 10:31pm.

- Calculus -
**Reiny**, Monday, October 1, 2012 at 11:04pmmake a sketch

let the base be x by x, and the height be y

so x^2 y = 32

y = 32/x^2

SA = 2x^2 + 4xy

= 2x^2 + 4x(32/x^2)

= 2x^2 + 128/x

d(SA)/dx = 4x - 128/x^2 = 0 for a min of SA

4x = 128/x^2

4x^3 = 128

x^3 = 32

x = 32^(1/3) or appr 3.175

y = 32/3.175^2

Well , what do you know, it happens to be a perfect cube.

**Answer this Question**

**Related Questions**

calculus - A container company is tasked to make an open-top rectangular box ...

Calculus - I actually have two questions: 4. An open box is to be made from a ...

calculus - determine the dimensions of a rectangular solid (with a square base) ...

Calculus - A closed box is to be a rectangular solid with a square base and ...

Calculus - A cardboard box of 32in^3 volume with a square base and open top is ...

Calculus - Q. An open-top box with a square base is to have a volume of 62.5 ...

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

Calc - A rectangular box, with a square base and open at the top is to be ...

calculus - A box of rectangular base and an open top has a surface area 600 cm2...

math - A box with a rectangular base and rectangular sides is to be open at the ...