Question Number 28199 by NECx last updated on 21/Jan/18
$${suppose}\:{one}\:{of}\:{the}\:{side}\:{of}\:{any} \\ $$$${box}\:{that}\:{can}\:{be}\:{carried}\:{onto}\:{an} \\ $$$${airplane}\:{must}\:{be}\:{less}\:{than}\:\mathrm{8}{m}. \\ $$$${Find}\:{the}\:{maximum}\:{value}\:{of}\:{such} \\ $$$${a}\:{box}\:{if}\:{the}\:{sum}\:{of}\:{the}\:{three}\:{sides} \\ $$$${can}\:{not}\:{exceed}\:\mathrm{46}{m}. \\ $$
Answered by mrW2 last updated on 22/Jan/18
$${V}_{{max}} ={a}_{{max}} {b}_{{max}} {c}_{{max}} =\mathrm{8}×\mathrm{8}×\mathrm{8}=\mathrm{512}\:{m}^{\mathrm{3}} \\ $$$$\mathrm{8}+\mathrm{8}+\mathrm{8}=\mathrm{24}\:{m}<\mathrm{46}\:{m} \\ $$$$ \\ $$$${Question}\:{seems}\:{to}\:{have}\:{a}\:{mistake}. \\ $$