Question

A rectangular block 6 cm×12cm×5 cm is cut into exact number of equal cubes. The least possible number of cubes will be?​

Answer 1

≡QUESTION≡

A rectangular block 6 cm × 12 cm × 5 cm is cut into exact number of equal cubes. The least possible number of cubes will be?​

                                                                                         

║⊕ANSWER⊕║

Volume of the block = (6 x 12 x 15) cm³

                                   = 1080 cm³  

Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm  

                                         = 3 cm.

 Volume of this cube  = (3 x 3 x 3) cm³

                                     = 27 cm³  

Number of cubes = 1080/27

                              = 40.

∴The least number of cubes that can be made = 40 cubes