# SOLUTION: 74. An open box is to be made from a square piece of cardboard of dimensions 30 inches by 30 inches by cutting out squares of area x^2 from each corner. a. Express the volume V of

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 Click here to see ALL problems on Geometry Word Problems Question 54909This question is from textbook Applied College Algebra : 74. An open box is to be made from a square piece of cardboard of dimensions 30 inches by 30 inches by cutting out squares of area x^2 from each corner. a. Express the volume V of the box as a function of x. b. State the domain of V.This question is from textbook Applied College Algebra Answer by funmath(2925)   (Show Source): You can put this solution on YOUR website!74. An open box is to be made from a square piece of cardboard of dimensions 30 inches by 30 inches by cutting out squares of area x^2 from each corner. a. Express the volume V of the box as a function of x. b. State the domain of V. Each side of the square would look like x--------x, if the length started out as 30 inches, then each side would be 30-2x. V=L*W*H The height is x. Length and width are the same because it has a square base. a. b.Each dimension has to be greater than 0. x>0 and 30-2x>0 30-2x>0 -30+30-2x>0-30 -2x>-30 -2x/-2<-30/-2 x<15in Therefore is the domain. Interval notation: (0,15in) Happy Calculating!!!