Question

What is the perpendicular height of an oblique prism with a volume of 144 cubic units and an area of 24 square units

Answer 1

Height of the oblique prism is 18 units.

Explanation:

Volume of an oblique prism =
`(1)/(3)(\text{Area of the base})(\text{Perpendicular height})`

Area of the base of this prism = 24 square units

And volume of the prism = 144 cubic units

By substituting these values in the formula,

144 =
`(1)/(3)(24)(h)`

h =
`(144* 3)/(24)`

h =
`(432)/(24)`

h = 18 units

Therefore, height of the oblique prism is 18 units.