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When a torch is pointed towards one of the vertical edges of a cube, you get a shadow of cube in the shape of ______. - Mathematics

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Question

When a torch is pointed towards one of the vertical edges of a cube, you get a shadow of cube in the shape of ______.

Options

  • square

  • rectangle but not a square

  • circle

  • triangle

MCQ
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Solution

When a torch is pointed towards one of the vertical edges of a cube, you get a shadow of cube in the shape of rectangle but not a square.

Explanation:

  • A cube has 6 faces, 12 edges and 8 vertices.

  • When light from a torch is pointed towards one of the vertical edges of the cube, the light passes around the shape and casts a shadow.

  • The shadow of the cube will take the outline of a rectangle because:

    • The light touches the two adjacent faces that meet at the edge.

    • The height and width of the shadow are determined by the lengths of the cube’s edges.

Therefore, the shadow cast is in the shape of a rectangle.

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Chapter 12: Practical Geometry Symmetry and Visualising Solid Shapes - Exercise [Page 367]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 12 Practical Geometry Symmetry and Visualising Solid Shapes
Exercise | Q 19. | Page 367

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