英文应用题Asquareplateofsomesizeiscutatfourcorners.Equalsquaresofthesamesizearecutandisformedasopenbox.Ifthisopenboxcarries128mlofoil.Whatisthesizeofthesideoftheplate?(a)17(b)14(c)13(d)Noneofthese

Question

英文应用题
A square plate of some size is cut at four corners.Equal squares of the
same size are cut and is formed as open box.
If this open box carries 128 ml of oil.What is the size of the side of
the plate?
(a) 17
(b) 14
(c) 13
(d) None of these

Answer 1

译文：方形（纸）板,四角各切掉相等的正方形,折起来,就是一没有盖的盒子.求原木板边长.
设原长为a,切去边长为b,则(a-b)*(a-b)*b=128.
如果不是以“整数”为前提,貌似没法做啊.
因为a-b>b,故(a-b)^2=164
从而a-b=8,同时b=2,所以a=10.
所以选D.