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Given : ABCD is a rectangle
m∠B1DB = 60°, m∠ADB = 45°
DB1=37
Find: Volume

Given ABCD Is A Rectangle MB1DB 60 MADB 45 DB137 Find Volume class=

Sagot :

DWReadidn

Answer:

Step-by-step explanation:

∠B₁DB = 60°

△B₁BD is a 30°-60°-90° triangle. The sides are in the ratio 1:√3:2

B₁D = 37 ⇒ BD = 37/2 = 18.5

BB₁ = 18.5√3

△ABD is isosceles

AB = AD = BD/√2 = 18.5/√2

volume = AB × AD × BB₁

= (18.5/√2) × (18.5/√2) × 18.5√3

= 18.5³√3/2

≅ 5483 cubic units

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