In a Math’s lab there are some cubes and cuboids of the following measurements: (I) one cube of side 4 cm (ii) one cube of side 6 cm (iii) 3 cuboids each of dimensions 4 cm x 4 cm x 6 cm and 3 cuboids each of dimensions 4 cm x 6 cm x 6 cm. A student wants to arrange these cubes and cuboids in the form of a big cube. Is it possible for him/her to arrange them in the form of a big cube? If yes, then find the length of side of new cube so formed.
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Step-by-step explanation:area of 1st cube 4*4*4cm² i.e. 64cm³
area of 2nd 3 cuboids are96cm³
and the next 3 cuboids are156cm³
therefore total area is 64+96*3+156*3 is equal to 820cm³
no since 820 is not a perfect cube
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