Octagonal prism vase

We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase?

Correct answer:

h =  88.301 cm

Step-by-step explanation:

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=2 (1+2)S=2 (1+2)252.2754 cm  S/n = 2a h1  h1=n a2 S=8 2.27542 252.7467 cm  h2=h1s=2.74671.21.5467 cm  a:h1 = b:h2  b=a h1h2=2.2754 2.74671.54671.2813 cm  S2=n 2b h2=8 21.2813 1.54677.9274 cm2  V = S2 h  h=V/S2=700/7.9274=88.301 cm



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