Question

If each opposite face of this pyramid is painted with the same colour as shown in the figure, and a white ball has to be placed at each coloured face and also at each corner point, then how many white balls will be required?

• A. 6
• B. 8
• C. 12
• D. 14

Answer 1

The correct option is D 14


Given figure is a square bipyramid, it has 8 faces and 6 corner points (i.e. vertices).
Since each opposite face of the given pyramid is painted with the same colour as shown in the figure.
$\therefore$ Total number of coloured faces = 8

As the white ball has to be placed at each coloured face and also at each corner point.
$\therefore$ Total number of white balls required = 8+6 = 14