甲物体的质量是乙物体的3倍，甲、乙两个物体的体积之比为3：2，求甲、乙两物体的密度之比．

Question

甲物体的质量是乙物体的3倍，甲、乙两个物体的体积之比为3：2，求甲、乙两物体的密度之比．

Answer 1

∵ρ=(m)/(V)，m_甲：m_乙=3：1，V_甲：V_乙=3：2，
∴甲、乙两物体的密度之比：
(ρ甲)/(ρ乙)=((m甲)/(V甲))/((m乙)/(V乙))=(m甲)/(V甲)×(V乙)/(m乙)=(m甲)/(m乙)×(V乙)/(V甲)=(3)/(1)×(2)/(3)=(2)/(1)．
答：甲、乙两物体的密度之比为2：1． (m)/(V)mmmVVV，m_甲甲：m_乙乙=3：1，V_甲甲：V_乙乙=3：2，
∴甲、乙两物体的密度之比：
(ρ甲)/(ρ乙)=((m甲)/(V甲))/((m乙)/(V乙))=(m甲)/(V甲)×(V乙)/(m乙)=(m甲)/(m乙)×(V乙)/(V甲)=(3)/(1)×(2)/(3)=(2)/(1)．
答：甲、乙两物体的密度之比为2：1． (ρ甲)/(ρ乙)ρ甲ρ甲ρ甲甲ρ乙ρ乙ρ乙乙=((m甲)/(V甲))/((m乙)/(V乙))=(m甲)/(V甲)×(V乙)/(m乙)=(m甲)/(m乙)×(V乙)/(V甲)=(3)/(1)×(2)/(3)=(2)/(1)．
答：甲、乙两物体的密度之比为2：1． ((m甲)/(V甲))/((m乙)/(V乙))(m甲)/(V甲)(m甲)/(V甲)(m甲)/(V甲)m甲m甲m甲甲V甲V甲V甲甲(m乙)/(V乙)(m乙)/(V乙)(m乙)/(V乙)m乙m乙m乙乙V乙V乙V乙乙=(m甲)/(V甲)×(V乙)/(m乙)=(m甲)/(m乙)×(V乙)/(V甲)=(3)/(1)×(2)/(3)=(2)/(1)．
答：甲、乙两物体的密度之比为2：1． (m甲)/(V甲)m甲m甲m甲甲V甲V甲V甲甲×(V乙)/(m乙)=(m甲)/(m乙)×(V乙)/(V甲)=(3)/(1)×(2)/(3)=(2)/(1)．
答：甲、乙两物体的密度之比为2：1． (V乙)/(m乙)V乙V乙V乙乙m乙m乙m乙乙=(m甲)/(m乙)×(V乙)/(V甲)=(3)/(1)×(2)/(3)=(2)/(1)．
答：甲、乙两物体的密度之比为2：1． (m甲)/(m乙)m甲m甲m甲甲m乙m乙m乙乙×(V乙)/(V甲)=(3)/(1)×(2)/(3)=(2)/(1)．
答：甲、乙两物体的密度之比为2：1． (V乙)/(V甲)V乙V乙V乙乙V甲V甲V甲甲=(3)/(1)×(2)/(3)=(2)/(1)．
答：甲、乙两物体的密度之比为2：1． (3)/(1)333111×(2)/(3)=(2)/(1)．
答：甲、乙两物体的密度之比为2：1． (2)/(3)222333=(2)/(1)．
答：甲、乙两物体的密度之比为2：1． (2)/(1)222111．
答：甲、乙两物体的密度之比为2：1．