A box is to be made of a piece of cardboard 9 in ² by cutting equal squares out of the corners and turning up the sides. Find the volume of the largest box that can be made this way
 👍
 👎
 👁
 ℹ️
 🚩
1 answer

if the squares have side x, then
v = (92x)^2 * x
find where dv/dx = 0 👍
 👎
 ℹ️
 🚩
answered by oobleck
Answer this Question
Related Questions

Calculus
A sheet of cardboard 25 cm by 40 cm will be made into an opentopped box by cutting equalsized squares from each corner and folding up the four edges. what will be the dimensions of the box with the largest volume?

calculus
An open box of maximum volume is to be made from a square piece of cardboard, 24 inches on each side, by cutting equal squares from the corners and turning up the sides to make the box. (a) Express the volume V of the box as a function of x, where x is

Mathematics
An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner,

MATH
An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square of side x inches from each corner and turning up the sides.Graph V=V(x)

Precalculus
From a rectangular piece of cardboard having dimensions a × b, where a = 40 inches and b = 70 inches, an open box is to be made by cutting out an identical square of area x2 from each corner and turning up the sides (see the figure). Express the volume V

math
A box with a square base and no top is to be made from a square piece of cardboard by cutting 4in. squares from each corner and folding up the sides, as shown in the figure. The box is to hold 196 in3. How big a piece of cardboard is needed?

Calculus
From each corner of a square piece of cardboard, remove a square of sides 3 inch. Turn up the edges to form an open box. If the box is to hold 300 inch cubed, what are the dimensions of the original piece of cardboard?

mathematics
A square sheet of cardboard with each side a centimeters is to be used to make an opentop box by cutting a small square of cardboard from each of the corners and bending up the sides. What is the side length of the small squares if the box is to have as

Math
An open box is to be made from a square piece of material by cutting fourcentimeter squares from each corner and turning up the sides (see figure). The volume of the finished box is to be 144 cubic centimeters. Find the size of the original piece of

Geometry
On a rectangular piece of cardboard with perimeter 11 inches, three parallel and equally spaced creases are made. The cardboard is then folded along the creases to make a rectangular box with open ends. Letting x represent the distance (in inches) between

Pre Calculus
A piece of cardboard measuring 13 inches by 11 inches is formed into an opentop box by cutting squares with side length x from each corner and folding up the sides. a. Find a formula for the volume of the box in terms of x b. Find the value for x that

math
A square piece of cardboard is to be used to form a box without a top by cutting off squares, 5cm on a side, from each corner and then folding up the sides. if the volume of the box must be 320 sq. sm, what must be the length of a side of the cardboard?

math
A rectangular box is built by cutting out square corners from a 9" by 11" piece of cardboard, then folding the resulting flaps up to form the height. Let x represent the sides of the square corners being cut out. Express the volume of the box as a function

11th grade math
A box without a lid is constructed from a 38 inch by 38 inch piece of cardboard by cutting in. squares from each corner and folding up the sides. a) Determine the volume of the box as a function of the variable . b) Use a graphing calculator to approximate

math
A box with a square base and no top is to be made from a square piece of cardboard by cutting 4in. squares from each corner and folding up the sides, as shown in the figure. The box is to hold 324 in3. How big a piece of cardboard is needed?

Calculus
An open box is formed from a piece of cardboard 12 inches square by cutting equal squares out of the corners and turning up the sides, find the dimensions of the largest box that can be made in this way.

precalculus
An open box is made from a square piece of material 36 inches on a side by cutting equal squares from the corners and turning up the sides. Use your calculator to find the maximum volume this box can hold. I got the equation 4x^336x^2+1296x = V But when I

Calculus
A box with an open top is to be made from a square piece of cardboard by cutting equal squares from the corners and turning up the sides. If the piece of cardboard measures 12 cm on the side, find the size of the squares that must be cut out to yield the

Math
An open box is to be made from a flat piece of material 9 inches long and 6 inches wide by cutting equal squares of length x from the corners and folding up the sides. Write the volume Vof the box as a function of x. Leave it as a product of factors, do

Prealgebra
Hey I'm having a lot of trouble with this question. An open box is to be made from a 20 inch by 40 inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. A) What size should the squares be in order to
Still need help?
You can ask a new question or browse existing questions.