An open box is made from a square piece of material 24 inches on a side by cutting equal squares from the corners and turning up the sides
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...
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 cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides. Find the length of the side of the cut-out square so that the box has the largest possible volume. Also, find the volume of the box
(1 point) An open box is to be made from a flat piece of material 8 inches long and 3 inches wide by cutting equal squares of length x from the corners and folding up the sides. Write the volume V of the box as a function of x. Leave it as a product of factors, do not multiply out the factors, V(x) = If we write the domain of V(x) as an open interval in the form (a, b),...
A box is formed by cutting squares from the four corners of a 5-wide by 7-long sheet of paper and folding up the sides.Let xx represent the length of the side of the square cutout (in inches).Write an expression in terms of xx that represents the width of the base of the box (in inches).Write an expression in terms of xx that represents the length of the base of the box (in inches).Write an expression in terms of xx that...
A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides, as shown in the following figure. If the volume of the box needs to be 126.75 cubic inches, what size square piece of cardboard is needed?
An open box is to be made from a rectangular piece of tin 12 inches long and 10 inches wide by cutting pieces of x-inch square from each corner and bonding up the sides. find the formula that expresses the volume of the box as a function of x.
A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides, as shown in the following figure. If the volume of the box needs to be 216.75 cubic inches, what size square piece of cardboard is needed? (Round your answers to one decimal place.)
A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. However, the size of the paper is unknown! The function f determines the volume of the box (in cubic inches) given a cutout length (in inches). a. Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 0.4 inches (0.4-2x)*2 Preview b. Use function notation to represent the volume of the...
A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. a. Suppose the paper is 9"-wide by 12"-long, i. Estimate the maximum volume for this box? (Hint: Use your graphing calculator.) * cubic inches Preview ii. What cutout length produces the maximum volume? - inches Preview b. Suppose we instead create the box from a 7"-wide by 9"-long sheet of paper. i. Estimate the maximum volume for this box?...