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A piece of cardboard is 2.7 times as long as it is wide. It is to...
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 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?
To create an open-top box out of a sheet of cardboard that is 6 inches long and 5 inches wide, you make a square flap of side length x inches in each corner by cutting along one of the flap's sides and folding along the other. Once you fold up the four sides of the box, you glue each flap to the side it overlaps. To the nearest tenth, find the value of x that maximizes the volume of the...
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...
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) =...
4. What are the absolute extrema (if any) coordinates for the function in #6? 5. What are the absolute extrema coordinates for the function, f(x) = x + 2x2 - 4x + 1, on the interval (-3, 1)? (x + 2x - 1)(x + 3) 6. Find the derivative of the following function.f(x) x+2 7. Suppose you have a rectangle piece of cardboard that is 16 inches by 7 inches that you want to use to make a box that...
(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 company is going to make open-topped boxes out of 15 14-inch rectangles of cardboard by cutting squares out of the corners, shown blue in the left figure, and folding up the sides. The finished box is the right picture. What is the largest volume box the company can make this way? (Round your answer to one decimal place.) in3 A company is going to make open-topped boxes out of 15 14-inch rectangles of cardboard by cutting squares out of...
i need help with number 3&4 and the answer is in red i just need to know how to work the problem (a) y (b) y=-x3 + 6x2-9x + 3 2. The sum of two nonnegative numbers is 36 (a) Find the two numbers if the differ ence of their square roots is to be as large as possible. 0 and 36 (b) Find the two numbers if the sum of their square roots is to be as large as...
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.