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- A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes.
Question 1:
A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes.Find the least possible number of cubes.
A. 30
B. 40
Feedback 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 =108027 = 40.
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 =108027 = 40.
C. 10
D. 20
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