Tetrahedral prism - rhomboid base

Calculate the area and volume tetrahedral prism that has base rhomboid shape and its dimensions are:
a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm.

Correct result:

S =  5.24 dm2
V =  0.72 dm3

Solution:

a=12/10=65=1.2 b=70/100=710=0.7 v=6/10=35=0.6 h=1 S1=a v=1.2 0.6=1825=0.72 S2=2 (a+b) h=2 (1.2+0.7) 1=195=3.8 S=2 S1+S2=2 0.72+3.8=13125=13125 dm2=5.24 dm2
V=S1 h=0.72 1=1825=1825 dm3=0.72 dm3



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