# Math Calc

posted by .

If 1500 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Volume =

• Math Calc -

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

then x^2 + 4xy = 1500
y = (1500 - x^2)/(4x)

V = x^2y
= x^2(1500 - x^2)/(4x)

expand, find dV/dx
set that equal to zero and solve

let me know how you made out.

## Similar Questions

1. ### Calculus

If 6075 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume=?
2. ### Math!!

If 1800 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box Volume=____________ I did sqrt(1800)=42.4264 and then 42.4264/3= 14.142 cm then 14.142^(3) …
3. ### CALC

If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
4. ### calculus

If 2100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = cubic centimeters.
5. ### math

If 2100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = cubic centimeters.
6. ### math

If 2100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume(cubic centimeters) =
7. ### math

If 507 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
8. ### Calculus -- HELP!

If 1200 square centimeters of material is available to make a box with a square base and open top, find the largest possible volume of the box.
9. ### Math

If 1600 square centimeters of metal is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = ?
10. ### Calculus

If 2300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = i know it's in cubic centimeters. but i'm getting my values wrong

More Similar Questions