Posted by **Anonymous** on Sunday, January 23, 2011 at 10:06pm.

A rectangular box is to have a square base and a volume of 50 ft3. The material for the base costs 44¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 26¢/ft2. Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.

- calculus -
**Reiny**, Sunday, January 23, 2011 at 10:14pm
let each side of base be x

let the height be y

x^2y = 50

y = 50/x^2

cost = 44x^2 + 4(10)(xy) + 26x^2 , where cost is in cents

=70x^2 = 40x(50/x^2)

= 70x^2 + 2000/x

- calculus -
**Anonymous**, Sunday, January 23, 2011 at 11:23pm
which one is the answer?

- calculus -
**Damon**, Monday, January 24, 2011 at 5:32am
The question asked for the cost.

- calculus -
**Danny**, Wednesday, January 23, 2013 at 7:13pm
Damon the answer is wrong.

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