Question

A cuboid -shaped box measuring 90cm x 120 cm x 150 cm. The box is completely filled with similar small cubes. Find the largest volume, in cm³, of each cube​

Answer 1

Step-by-step explanation:

Volume of the block = (6 x 12 x 15) cu.cm = 1080 cu.cm

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) cu.cm = 27 cu.cm

Number of cubes =

1080

27

= 40.