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A box with a lid is to be made from a rectangular piece of cardboard measuring 12 cm by 36 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 maximunm. Lid 12 cm 36 cm ..... %3D cm (Type an integer or decimal rounded to the nearest tenth as needed.)

A box with a lid is to be made from a rectangular piece of cardboard measuring 12 cm by 36 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 maximunm. Lid 12 cm 36 cm ..... %3D cm (Type an integer or decimal rounded to the nearest tenth as needed.)

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 25A
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A box with a lid is to be made from a rectangular piece of cardboard measuring 12 cm by 36 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 maximunm. Lid 12 cm 36 cm ....... cm (Type an integer or decimal rounded to the nearest tenth as needed.)
Transcribed Image Text:A box with a lid is to be made from a rectangular piece of cardboard measuring 12 cm by 36 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 maximunm. Lid 12 cm 36 cm ....... cm (Type an integer or decimal rounded to the nearest tenth as needed.)
An open box is to be made from a square piece of cardboard whose sides are 47 centimetres long, by cutting squares of equal size from the corners and bending up the sides. Determine the size of the square that is to be cut out so that the volume may be a maximum. 47 cm D. 47 cm ..... st A square with a side of length centimetres should be cut away from each corner to obtain the maximum volume. (Round to two decimal places as needed.)
Transcribed Image Text:An open box is to be made from a square piece of cardboard whose sides are 47 centimetres long, by cutting squares of equal size from the corners and bending up the sides. Determine the size of the square that is to be cut out so that the volume may be a maximum. 47 cm D. 47 cm ..... st A square with a side of length centimetres should be cut away from each corner to obtain the maximum volume. (Round to two decimal places as needed.)
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