question_answer

In a right prism, the base is an equilateral triangle, Its is \[\mathbf{135}\sqrt{\mathbf{3}}\mathbf{c}{{\mathbf{m}}^{\mathbf{3}}}\] and lateral surface area is\[\mathbf{270}\,\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\]. If height of the prism is increased by 60%, then its new volume will be ___________

A)  \[140\sqrt{3}\text{ c}{{\text{m}}^{3}}\]                                             

B)  \[216\sqrt{3}\text{ c}{{\text{m}}^{3}}\]  

C)  \[236\sqrt{3}\text{ c}{{\text{m}}^{3}}\]                                             

D)  \[306\sqrt{3}\text{ c}{{\text{m}}^{3}}\]

E)  None of these