# A rhombic prism has the diagonal of the rhombus measuring 16 and 12 cm. If the the altitude of the prism is equal in size to the side of the rhombus. What is the surface area and the volume of the Rhombic Prism?

##### 1 Answer

A Rhombus is a flat shape having

Area of a rhombus

And in every rhombus

#4a^{2}=p^{2}+q^{2}# .........(2)

In the given question, from (2)

#4a^{2}=16^{2}+12^{2}#

#=>4a^{2}=256+144#

#=>a=sqrt((256+144)/4)#

#=>a=10\ cm#

Rhombus is special case of square. As such a Rhombic Prism is a special case of square prism.

1. Surface area of the Rhombic Prism.

From (1)

Area of rhombic side

Area of square side

Total surface area

2. Volume of the Rhombic Prism