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

Answer:

Height of the oblique prism is 18 units.

Step-by-step explanation:

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

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 = $\frac{1}{3}(24)(h)$

h = $\frac{144\times 3}{24}$

h = $\frac{432}{24}$

h = 18 units

Therefore, height of the oblique prism is 18 units.