Khan Academy
9:50
Khan Academy
Jan 31, 2013
Khan AcademySal Khan
How to Make a Box Out of Cardboard
How to Make a Box Out of Cardboard
544.7K views2 months ago
wikiHowAmy Guerrero
SOLVED:An open box is to be constructed from a piece of cardboard 20  cm by 40  cm by cutting squares of side length x from each corner and folding up the sides, as shown in the figure. (a) Express the volume V of the box as a function of x. (b) What is the domain of V ? (Use the fact that length and volume must be positive.) (c) Draw a graph of the function V, and use it to estimate the maximum volume for such a box. (FIGURE CAN'T COPY)
SOLVED:An open box is to be constructed from a piece of cardb…
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SOLVED:Volume of a Box A rectangular piece of cardboard measuring 12 inches by 18 inches is to be made into a box with an open top by cutting equal-sized squares from each corner and folding up the sides. Let x represent the length of a side of each such square in inches. (Square can't copy) (a) Give the restrictions on x . (b) Determine a function V that gives the volume of the box as a function of x . (c) For what value of x will the volume be a maximum? What is this maximum volume? (d) For wh
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An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. (a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner. (b) What is the volume if a 3 -inch square is cut out? (c) What is the volume if a 10 -inch square is cut out? (d) Graph V=V(x). For what value of x is V largest? | Numerade
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