Prism-shaped 6137

The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm.
The edge of the base and the prism height are in a ratio of 2:5.
How many liters of water is in the container when it is filled to four-fifths of the volume?

Correct answer:

V =  3.6615 l

Step-by-step explanation:

1 dm3 = 1 l a=14/10=57=1.4 dm u=10/10=1 dm s=2a+u+a=257+1+57=1019=1.9 dm  S1=s (sa) (su) (sa)=1.9 (1.91.4) (1.91) (1.91.4)0.6538 dm2  S=2 S1=2 0.65381.3077 dm2  a:h = 2:5 h=25 a=25 57=2 55 7=1035=27=3.5 dm V1=h S=3.5 1.30774.5768 l V=54 V1=54 4.5768=3.6615 l

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