Question
100%

An open box is to be constructed from a square piece of sheet metal by removing a square of side 4 feet from each corner and turning up the edges. If the box is to hold 256 cubic​ feet, what should be the dimensions of the sheet​ metal?

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
Not helpful? See similar books
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Areas Of Polygons And Circles. 13CR
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1…

A: Given,            We know that the height of the box=1ft            The dimensions of the square…

Q: An open box, no more than 5 cm in height, is to be formed by cutting four identical squares from the…

A: The dimension of the metal sheet is 25 cm by 32 cm. Let x cm be the side length of the squares…

Q: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

A: Click to see the answer

Q: A rectangle piece of Metal has a length that is 10 inch longer than its width. Squares with sides 3…

A: Click to see the answer

Q: An open rectangular box is to be formed by cutting identical squares, each of side 2 in, one from…

A: Let L = the length of the box W = the width of the boxSo,(L+4) = the length of the piece cardboard…

Q: A rectangle piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each…

A: Consider x be the width of the rectangle. So, 2x is the length of the rectangle.Corner cut: A 4 cm…

Q: a rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are…

A: A rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are…

Q: An open box with a volume of 128 cm³ can be made by cutting a square of the same size from each…

A: Click to see the answer

Q: An open box with a volume of 128 cm³ can be made by cutting a square of the same size from each…

A: Click to see the answer

Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

Q: A box has a volume of 48 cubic inches.  If all the dimensions of the box are cut in half, what is…

A: Given problem is : A box has a volume of 48 cubic inches.  If all the dimensions of the box are cut…

Q: A box has a volume of 48 cubic inches. If all the dimensions of the box are cut in half, what is the…

A: According to the question:

Q: A rectangle piece of a metal has a length that is 10 inch longer than it’s width. Squares with sides…

A: Click to see the answer

Q: A rectangular piece of cardboard, whose area is 198 square centimeters, is made into an open box by…

A: Let the length of the box is = x cm  width= y cm.  Given height= 2 cm  So the volume=2xy

Q: The length of a rectangular pool is to be four times its width, and a sidewalk of width 6 feet will…

A: Lets assume width of a rectangular pool = x So length of a rectangular pool = 4x

Q: A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut…

A: Given: Volume of box = 374

Q: An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting out…

A: To calculate the maxima or minima of a certain function, first derivative will give us the critical…

Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: The length of the initial piece of cardboard = 4 inches. The width of the initial piece of cardboard…

Q: An open box is to be made from a square piece of cardboard,18 inches by 18 inches, by cutting out…

A: Click to see the answer

Q: An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting out…

A: Let x be the side of the square that is cut from the corner of the 18 inch square piece of…

Q: An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting out…

A: Click to see the answer

Q: An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting out…

A: Let x the side of each square cut from the corners, since the side length is 18 inch, hence the…

Q: A box is being constructed by cutting 4-inch squares from the corners of a rectangular sheet of…

A: Click to see the answer

Q: A rectangular piece of cardboard, whose area is 143 square centimeters, is made into an open box by…

A: Click to see the answer

Q: if an open box is made from a tin sheet 7 in. square by cutting out identical squares from each…

A: Given that a open box made from a tin sheet 7 inch.and determine largest box that can be made. Here…

Q: A cube of 5 cm is painted on all its faces .If it is sliced into 1 cubic centimetre cubes , how many…

A: Click to see the answer

Q: The open-topped box can be created by cutting squares from the four corners of a 20cm by 30cm piece…

A: Click to see the answer

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

A: Let a be the width and b be the height of the poster. Let the area of the poster to be minimized be…

Q: A box with no top is to be constructed from a piece of cardboard whose length measures 13in. more…

A: Let x inches be the width of the cardboard, then the length is (x + 13) inches, because length is 13…

Q: From each corner of a square piece of sheet metal, remove a square of side9 centimeters. Turn up the…

A: Volume=11cm3 h=9cm

Q: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

A: Click to see the answer

Q: Given a cardboard that measures 40 cm by 30 cm, determine the dimensions of the square corners that…

A: Solution is given below:

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Here we find out the area of poster including margin

Q: The top of a rectangular box has an area of 108 cm2. The sides have areas of 84 cm2 and 63 cm2.…

A: Let, Length of box=L Width of box=L Height of box=L   Given,Area of top of a rectangular box =l*b…

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A: Click to see the answer

Q: Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.

A: Click to see the answer

Q: The area of a 12m x 14m playground is to be doubled by extending each side length an equal amount.…

A: Given Area=12m x 14mwhere, length=14m and width=12m

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A: AnswerLet x,y be the length and width of printedareaGiven area of printed area  A=864 cm2  xy=864…

Q: An open box is to be made from 8 inches by 18 inches piece of cardboard by cutting squares of equal…

A: Let l is length of the box, w is a width of the box and h is the height of the box.…

Q: An open box is to be made from 8 inches by 18 inches piece of cardboard by cutting squares of equal…

A: An open box is to be made from 8 inches by 18 inches piece of cardboard by cutting squares of equal…

Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: From the figure dimension for the box Length of the box = 3 -2x Width of the box = (4-3x)/ 2    = 2…

Q: A square has side length 8 cm. If the area is multiplied by 3, what happens to the side length?

A: Let length of side of square = a given that a = 8 cm Area of the square = a2 now we need to find…

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of…

A: Let Width = x cm     Height = y cm Width = x-16 Height = y -12

Q: A rectangular piece of cookie dough has an area of 640 square inches. If the cookie was rolled out…

A: Explanation of the answer is as follows

Q: A 15-foot ladder is leaning against a wall. if the height of the top portion of the ladder from the…

A: Click to see the answer

Q: A rectangular piece of cookie dough has an area of 640 square inches. If the cookie was rolled out…

A: Click to see the answer

Q: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

A: To find the relation between heights of pyramids

Q: A farmer has 54 feet of fence with which to make a corral. If he arranges it into a rectangle that…

A: Suppose that the width of the rectangle is x feet then the length of the rectangle is 2x. Now the…

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be nine…

A: Volumes

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A: Given information:The top and bottom margins of a poster are 2 cm and the side margins are each 6…

Knowledge Booster
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    Elementary Geometry for College Students
    Geometry
    ISBN:9781285195698
    Author:Daniel C. Alexander, Geralyn M. Koeberlein
    Publisher:Cengage Learning
    Algebra: Structure And Method, Book 1
    Algebra
    ISBN:9780395977224
    Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
    Publisher:McDougal Littell
  • Linear Algebra: A Modern Introduction
    Algebra
    ISBN:9781285463247
    Author:David Poole
    Publisher:Cengage Learning
    College Algebra
    Algebra
    ISBN:9781938168383
    Author:Jay Abramson
    Publisher:OpenStax
  • Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    Elementary Geometry for College Students
    Geometry
    ISBN:9781285195698
    Author:Daniel C. Alexander, Geralyn M. Koeberlein
    Publisher:Cengage Learning
    Algebra: Structure And Method, Book 1
    Algebra
    ISBN:9780395977224
    Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
    Publisher:McDougal Littell
    Linear Algebra: A Modern Introduction
    Algebra
    ISBN:9781285463247
    Author:David Poole
    Publisher:Cengage Learning
    College Algebra
    Algebra
    ISBN:9781938168383
    Author:Jay Abramson
    Publisher:OpenStax