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Can this be a net for a die? Explain you answer. - Mathematics

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Question

Can this be a net for a die?

Explain you answer.

Diagram
Short Answer

Solution

The given net can be folded as follows:

It can be observed that the opposite faces of the die so formed have 2 and 5, 1 and 4, 3 and 6 on them. The sum of the numbers on the opposite faces comes to 7, 5 and 9 respectively. However, in case of a die, the sum of the numbers on the opposite faces should be 7. Hence, this net is not of a die.

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Chapter 15: Visualising Solid Shapes - Exercise 15.1 [Page 281]

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NCERT Mathematics [English] Class 7
Chapter 15 Visualising Solid Shapes
Exercise 15.1 | Q 3 | Page 281

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