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Here is an incomplete net for making ...

Here is an incomplete net for making a cube. Complete it in atleast two different ways.

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Here is an incomplete net for making a cube. Complete it in at least two different ways. Remember that a cube has six faces. How many are there in the net here? (Give two separate diagrams. If you like, you may use a squared sheet for easy manipulation.)

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The number of positive integers with the property that they cann be expressed as the sum of the cubes of 2 positive integers in two different ways is

Carefully study the parallelograms. (i) Find the area of each parallelogram by counting the squares enclosed in it. For counting incomplete squares check whether two incomplete squares make a complete square in each parallelogram. Complete the following table accordingly-