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On a rectangular piece of cardboard with perimeter 11 inches, three parallel and equally spaced creases...
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 the creases, use a graphing calculator to find the value of that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places. values of x that maximizes volume =...
A Candy box is made from a piece of cardboard that meaasures 11 by 7 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume?
8. (10pts) A rectangular filed is to be enclosed with a fence. One side of the field is against an existing wall, so that no fence is needed on that side. If material for the fence costs $2 per foot for the two ends and $4 per foot for the side parallel to the existing wall, find the dimensions of the field of largest area that can be enclosed for $1000, 9. (11pts) A candy box is made from a...
You construct an open box from a square piece of cardboard, 24 inches on a side, by cutting out equal squares with sides of length from the corners and turning up the sides (see figure below). Write a function V, in terms of 2, that represents the volume of the box. Then use a calculator to graph V and use the graph to estimate the value of that produces a maximum volume. - - - - x - - x...
A box with a lid is to be made from a rectangular piece of cardboard measuring 24 cm by 72 cm. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the volume of the box is a maximum. Lid 24 cm 72 cm Type an integer...
A candy box is made from a piece of cardboard that measures 25 by 14 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. Find the length of the side of the square that must be cut out if the volume of the box is to be maximized. What is the maximum volume? 14 in. A square with a side of length of 2.88 inches...
4. A rancher with 300 ft of fence intends to enclose a rectangular corral, dividing it in half by a fence 5. A rectangular garden of area 75 ft2 is bounded on three sides by a wall costing $8 per ft and on the 6. An open box is made from a 16 x 16 cm piece of cardboard by cutting equal squares from each corner parallel to the short sides of the corral. How much area can be enclosed?...
2.9 2.9 Score: 0/1000/10 answered Question 1 A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. Find a formula for the volume of the box in terms of x V(x) = Find the value for that will maximize the volume of the box x = Question Help: D Video Submit Question For the given cost function C(x) =...
An open box is made from a square piece of cardboard 20 inches on a side by cutting identical squares from the corners and turning up the sides.(a) Express the volume of the box, V , as a function of the length of the side of the square cut from each corner, x. (b) Find and interpret V (1),V (2),V (3),V (4), and V (5). What is happening to the volume of the box as the length of the side...
A graphing calculator is recommended. A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 30 in. by cutting out equal squares of side x at each corner and then folding up the sides (see the figure). 30 in. х x х 14 in. х х х х (a) Find a function that models the volume V of the box. V(x) (b) Find the values...