一道英语数学题

题目

一道英语数学题
an open rectangular box with a square base is to be made from 48ft^2 material
i.write a formula for the Volume and the Surface Area of the box
ii.find the value of x for which V is maximum.

答案

设底面边长为a,高为h,则a+2h=48i：V=a^2*h=a^2*(48-a)/2ft^3S=a^2+4*a*h=a^2+4*a*(48-4)/2=a^2+2*a*(48-a)ft^2ii：假如x指的是底面边长,则V=x^2*h=x^2*(48-x)/2求导V'=48x-3x^2/2,当V'=0时,有x=0ft(显然不合适,舍去)...