Dimensions 81622

We cut the 80 cm and 50 cm, and 20 cm frames with a weight of 160 kg to a frame of half the dimensions. What is his weight now?

Correct answer:

m2 =  20 kg

Step-by-step explanation:

a=80 cm b=50 cm c=20 cm m1​=160 kg  V1​=a⋅ b⋅ c=80⋅ 50⋅ 20=80000 cm3 x=a/2=80/2=40 cm y=b/2=50/2=25 cm z=c/2=20/2=10 cm  V2​=x⋅ y⋅ z=40⋅ 25⋅ 10=10000 cm3  ρ = m1​/V1​ = m2​/V2​ = const m1​/V1​ = m2​/V2​  m2​=m1​⋅ V1​V2​​=160⋅ 8000010000​=80000160⋅ 10000​=800001600000​=20 kg

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