A pyramid is constructed on a cuboid. The figure has

A.

Twelve faces

B.

Thirteen vertices

C.

Fourteen edges

D.

Fifteen edges

E.

Sixteen edges

Correct answer is E

The pyramid has 8 edges in itself while the cuboid has 12 edges. When merging the two shapes together, the edge of the base of the pyramid becomes same as the edges of the top of the cuboid.

Hence, the new structure will have (12 + 8) - 4 = 16 edges.