Square prism

Calculate the volume of a foursided prism 2 dm high, the base is a trapezoid with bases 12 cm, 6 cm, height of 4 cm and 5 cm long arms.

Correct result:

V =  0.72 dm3

Solution:

h=2 dm a=12 cm→dm=12/10 dm=1.2 dm c=6 cm→dm=6/10 dm=0.6 dm v=4 cm→dm=4/10 dm=0.4 dm  S=(a+c)⋅ v/2=(1.2+0.6)⋅ 0.4/2=925=0.36 dm2  V=S⋅ h=0.36⋅ 2=1825=0.72 dm3h=2 \ \text{dm} \ \\ a=12 \ cm \rightarrow dm=12 / 10 \ dm=1.2 \ dm \ \\ c=6 \ cm \rightarrow dm=6 / 10 \ dm=0.6 \ dm \ \\ v=4 \ cm \rightarrow dm=4 / 10 \ dm=0.4 \ dm \ \\ \ \\ S=(a+c) \cdot \ v/2=(1.2+0.6) \cdot \ 0.4/2=\dfrac{ 9 }{ 25 }=0.36 \ \text{dm}^2 \ \\ \ \\ V=S \cdot \ h=0.36 \cdot \ 2=\dfrac{ 18 }{ 25 }=0.72 \ \text{dm}^3

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