20point..............急

At least how many cuboids of dimensions 3 cm x 4 cm x 6 cmshould be used to form a cube?

請問最少要用多少個 3cm x 4cm x 6cm 的長方體來組成一個立方體?

The minimium size of the cube = LCM of 3, 4, 6
The lenght of the cube (立方體的最短長度)
=3×2×2
= 12cm
立方體的最短長度 = 長方體的三條邊最少公倍數
The number of cuboids should be used
= ( 12×12×12 ) / ( 3×4×6)
= 1728/72
= 24
∴24 cuboids is used to form a cuboid

要用幾多個 3 厘米 x 4 厘米 x 6 厘米 大小的正立方體組成一個大立方體 ?

(提示: L.C.M. of 3,4,6)