Question

Examine if the following is true statement.
The cube can cast a shadow in the shape of a hexagon.
A. True
B. False

Answer 1

Hint:A cube is a 3-D geometrical shape having all the faces of equal length. All the sides of a cube are equal. Also every square is a rectangle whose length and breadth are of equal size. On the basis of this discussion we will try to find out the required answer.

Complete step-by-step answer:
It is given in the question that we have to examine whether the cube can cast a shadow in the shape of a hexagon. We know that a cube is a 3-D geometrical shape having all the faces of equal length. Also, we know that every square is a rectangle whose length and breadth are of equal size.

Now, we know that a cubical object gives a square shape shadow when light is coming directly. And gives a rectangular shadow when light is coming diagonally.

On the basis of the above discussion we can conclude that a cube can cast a shadow of rectangular shape but it cannot cast a shadow of hexagonal shape. It is not formed because the hexagon has 6 sides and the cube has only 4 sides. Therefore, the statement that the cube can cast a shadow in the shape of a hexagon is false.

Note: This type of question is answered directly on the basis of our own thinking. The size of a shadow may depend on the distance between light source and cube, but from all sides the shadow formed will be a rectangle.