The base of the straight prism is a right-angled triangle with a 6 cm leg and an acute angle of 45 degrees.
| December 16, 2020 | education
The base of the straight prism is a right-angled triangle with a 6 cm leg and an acute angle of 45 degrees. The volume of the prism is 180 cm3. Find the height of the prism.
h—?
consider the triangle ABC:
Since the angle = 45 °, then AB = BC = 6 cm
base area S = AB × BC / 2 = 6 × 6 ÷ 2 = 18 (cm²)
V = Sh → h = V ÷ S = 180 cm³ / 18 cm² = 10 cm
Answer: height = 10 cm
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