Question 75

Amrita, during her trek in a Jungle finds a rectangular log of wood measuring 6cm X 12cm X 15cm. She wants to cut this log into exact number of wooden cubes. What is the number of such cubes of equal size that she can get by using the entire log?

Solution

HCF of 6, 12 and 15 is 3, so Amrita can cut cubes of side 3 cm.

Total no. of cubes $$=\frac{6\times\ 12\times\ 15}{3^3}=40$$

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