Question

Percentages of free space in cubic close packed structure
and in body centered packed structure are respectively
(a) 30% and 26% (b) 26% and 32%
(c) 32% and 48% (d) 48% and 26%

Answer 1

To find the percentages of free space in cubic close packed structure  and in body centered packed structure are respectively.

• We know that the packing percentage in a cubic closed packed structure is equal to 74%.
• So, the percentage of free space in cubic closed packed structure will be equal to 100% – 74% , which is equal to 26%.
• Now, again we know the packing percentage in a body centered structure is 68%.
• So, the percentage of free space in body centered packed structure will be equal to 100% – 68% which is equal to 32%.

Hence the final answer will be (b) 26% and 32%.

Answer 2

The percentages are 26% and 32%.

Option (B) is correct.

Explanation:

As we know that the packing percentage in a cubic closed packed (ccp) structure is equal to 74%.

Therefore, the percentage of free space in cubic closed packed structure

=  100% – 74% =  26%.

Now, again we know the packing percentage in a body centered structure (bcs) is 68%.

So, the percentage of free space in body centered packed structure

=  100% – 68% =  32%.

Thus the percentages are 26% and 32%.

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