An oblique prism has a volume of 144 cubic units. the area of its base is 24 square units. what is they pependicular height of the prism?

Perpendicular height of prism is:

6 units

Volume of oblique prism is equal to base area times height

i.e. Volume=

We are given Base area= 24 square units

Volume= 144 cubic units

so, 144= 24 × Height

Height = 144/24

Height =6 units

Hence, Perpendicular height of prism is:

6 units

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

step-by-step explanation: