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Question

Buddha wants to make a paper cube using a squared sheet. He knows that all the faces of a cube are squares.
He draws two different shapes.



• Will both these shapes fold into a cube?
• Draw at least one more shape which can fold into a cube.
• What will be the area of each face of the cube?
• Draw one shape which will not fold into a cube.
• Look around and discuss which things around you look like a cube. List a few.

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Solution

• Yes, both the shapes will fold into a cube.

• The shape which can fold into a cube is shown below.


• We know that, each face of the cube is a small square. Area of small square is 1 square cm. Thus, the area of each face of the cube is 1 square cm.

• The shape which cannot fold into a cube is shown below.


• The shape of die, sugar cubes, ice cubes, etc. resembles that of a cube.

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