An open box of maximum volume is to be made from a square piece of material, a 18 inches on a side, by cutting equal squ

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An Open Box Of Maximum Volume Is To Be Made From A Square Piece Of Material A 18 Inches On A Side By Cutting Equal Squ 1 (22.89 KiB) Viewed 45 times

An open box of maximum volume is to be made from a square piece of material, a 18 inches on a side, by cutting equal squares from the corners and turning up the sides (see figure) (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown) Heightx 1 Volume V 118-2(1)) - 256 2 2018-2(231²-392 3 4 5 6 Length and Width 18-2(1) 18-2(2) 18-203) 18-2(4) 18-2(5) 18-2(6) V= Use the table to guess the maximum volume Vi () write the volume V as a function of x 318-2311- 418-2(4))³- 5[18-2511- 18-2(6)- (Use calculus to find the critical number of the function in part () and find the maximum value