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
