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Examine if the following are true statements:
$(i)$ The cube can cast a shadow in the shape of a rectangle.
$(ii)$ The cube can cast a shadow in the shape of a hexagon.
Given:
Statements:
$(i)$ The cube can cast a shadow in the shape of a rectangle.
$(ii)$ The cube can cast a shadow in the shape of a hexagon.
To do: To check if the given statements are true or false.
Solution:
We know that a cube casts a shadow in a square shape when the light is coming directly and it can form a rectangular shape when the light is coming diagonally.
Statement: "$(i)$ The cube can cast a shadow in the shape of a rectangle." this is true as any cubical shape like dice or matchbox can form a shadow in a rectangular shape.
Statement: "$(ii)$ The cube can cast a shadow in the shape of a hexagon." this is a false statement as a hexagon has 6 sides while a cubical-shaped object can form a shadow of 4 sides only.
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