Answer:

GIVEN :

An oblique prism has volume 144 cubic units. The area of the prism's base is 24 square units.

TO FIND :

The perpendicular height of the given prism.

SOLUTION :

Given that an oblique prism has a volume of 144 cubic units.

Volume of the prism=144 cubic units.

The area of the prism's base is 24 square units

Base area=24 square units

The formula for volume of the prism is given by :

V=Bh cubic units , where B is the base area and h is the height of the prism.

Substitute the values in the formula we get,

h= 144/24

Rewritting we get,

24h=144

h=6

∴ h=6 cubic units.

∴ Option C) 6 cubic units is correct.

∴ the perpendicular height of the prism is 6 cubic units.