Question

An oblique prism has a rectangular base that measures 10 inches by 8 inches and slanted edges that measure 12 inches. The slanted edge forms a 60- degree angle with the 10-inch edge as shown in the figure below. (a) What is the length of the height? (Hint: Recall the relationship between the sides of a 30-60-90-degree right triangle.) (b) What is the volume of the oblique prism?_​

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

sin 60 = √3/2

so √3/2 = h / 12

height h = 12√3/ 2

= 6√3 inches or 10.39 inches to nearest hundredth.

Volume = area of base * height = 10*8*6√3

= 480√3 in^3 or 831.38 in^3 to nearest hundredth.