问一个GMAT的DS题whatisthemaximumnumberofrectanglarblocks,eachwithdimensions12centimetersby6centimetersby4centimeters,thatwillfitinsiderectangularbox1.whenboxxisfilledwiththeblocksandrestsonacertainside,therea

Question

问一个GMAT的DS题
what is the maximum number of rectanglar blocks,each with dimensions 12 centimeters by 6 centimeters by 4 centimeters,that will fit inside rectangular box
1.when box x is filled with the blocks and rests on a certain side,there are 25 blocks in the bottom layer.
2.the inside dimensions of box x are 60 centimeters by 30 centimeters by 30 centimeters by 20 centimeters.

Answer 1

125个 因为25只有一种因数分解5*5 所以那种方法底面肯定是5排5列 5个小块的长是5*12=60 刚好被箱的长60容纳 5个小块的宽为5*6=30 刚好被箱的宽30容纳
再看高 每个小块高4 箱高20 故可以容纳5层 所以最大可装满5层 每层5排5列 共5*5*5 125个 且刚好装满无空隙