Octagonal prism vase

0.7 l of water can be poured in an octagonal prism vase. What is the height of the vase, if the bottom has a area of 25 cm square and a thickness of 12 mm?

Correct result:

h =  88.301 cm

Solution:

V=0.7 l cm3=0.7 1000  cm3=700 cm3 S=25 cm2 s=12 mm cm=12/10  cm=1.2 cm n=8  S=2(1+2) a2  a=S2 (1+2)=252 (1+2)2.2754 cm  S/n=a h12  h1=2 Sn a=2 258 2.27542.7467 cm  h2=h1s=2.74671.21.5467 cm  a:h1=b:h2  b=a h2h1=2.2754 1.54672.74671.2813 cm  S2=n b h22=8 1.2813 1.546727.9274 cm2  V=S2 h  h=V/S2=700/7.9274=88.301 cm



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