An-open-box-with-a-square-base-is-to-be-made-out-of-a-given-quantity-of-a-cardboard-of-area-c-2-square-units-show-the-maximum-volume-of-the-box-c-2-6-3-cubic-units- Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 100341 by peter frank last updated on 26/Jun/20 Anopenboxwithasquarebaseistobemadeoutofagivenquantityofacardboardofareac2squareunits.showthemaximumvolumeoftheboxc263cubicunits Commented by PRITHWISH SEN 2 last updated on 26/Jun/20 Lettheareaofthefloor=x2theareaoftheremaining4sides=c2−x2∴theheightoftbebox=c2−x24x∴Thevol.V(x)=14(c2−x2)xV′(x)=14(c2−3x2)=0⇒x2=c23V″(x)=−32x<0∀x∴Vmax.=14(c2−c23)c3=c363proved. Answered by bobhans last updated on 26/Jun/20 volumeofthebox=V(x)=(c−2x)2xV′(x)=(c−2x)2−4(c−2x)x=0(c−2x){c−2x−4x}=0,x=16cVmax=(c−13c)2.(16c)=(4c29)(c6)=2c327 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-34803Next Next post: solve-sin-2-x-sin-2-y-1-sinx-siny-sinxsiny- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.