\n It’s kind of hard to visualize the picture I have, but possible without seeing.A piece of cardboard measures 10 in. by 15 in.. Two equal squares are removed from the corners of a 10. in side as shown in the figure. Two equal rectangles are removed from the other corners so that the tabs can be folded to form a rectangular box with a lid. Find the maximum volume of the box.I set the sides of the little cutout squares as x, so got the sides to be 7.5-x and 10-2x .So volume is all the 3 sides multiplied, the height being the same as any of the sides of the little square things, so x. So x(7.5-x)(10-2x)Multiplied out, got 75x – 25x^2 + 2x^3Then derived, so 75 – 50x + 6x^2, or rather 6x^2 – 50x + 75.Can’t really factor, I guess you quadratic formula, then plug the number back into the orig.Got 6.37, not sure if it’s right for x, if someone could confirm, that’d be great.This problem is a really big part of my grade for Calculus, and just want to make sure I did it right, thanks.\n <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
It’s kind of hard to visualize the picture I have, but possible without seeing.A piece of cardboard measures 10 in. by 15 in.. Two equal squares are removed from the corners of a 10. in side as shown in the figure. Two equal rectangles are removed from the other corners so that the tabs can […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_joinchat":[]},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/227322"}],"collection":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/comments?post=227322"}],"version-history":[{"count":0,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/227322\/revisions"}],"wp:attachment":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/media?parent=227322"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/categories?post=227322"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/tags?post=227322"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}