# 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.

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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.

Updated on 10-Oct-2022 13:40:03