Mystery of stereometrie

Two regular tetrahedrons have surfaces 88 cm2 and 198 cm2. In what ratio is their volumes?

Write as a fraction and as a decimal rounded to 4 decimal places.

Correct result:

p =  0.2963

Solution:

S a2 V a3  S1=k1a12=88 S2=k1a22=198  a1:a2=S1:S2=88:198  V1:V2=(a1:a2)3=(88:198)3/2 V1:V2=(49)3/2=(23)3=827 V1:V2=0.2962962962960.2963 



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