A rectangular block 15cm by 30cm by 75cm is cut into an exact number of equal cubes. Find the least possible number of cubes?
Choose the correct choice: A) 6 B) 40 C) 15 D) 10 E) 22
Volume of the block = 15*30*75= 
<gadget id="calculator">15*30*75</gadget>
<output>33_750</output>
33750 cm^3   Side of the largest cube= H.C.F of 15,30,75 = 15cm   Volume of the cube = 15*15*15= 
<gadget id="calculator">15*15*15</gadget>
<output>3_375</output>
3375 cm^3   Number of cubes= 33750/3375= 
<gadget id="calculator">33750/3375</gadget>
<output>10</output>
10   Answer is 10
<result>D</result>
A rectangular block 15cm by 30cm by 75cm is cut into an exact number of equal cubes. Find the least possible number of cubes?