Mystery of stereometrie

Two regular tetrahedrons have surfaces 76 cm2 and 171 cm2. In what ratio are their volumes?

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

Correct answer:

p =  8/27

Step-by-step explanation:

S  a2 V   a3  S1 = k1 a12 = 76  cm2 S2 = k1 a22 = 171  cm2  a1:a2 = S1:S2 = 76:171  V1:V2 = (a1:a2)3 = (76:171) 3/2  V1:V2 = (94)3/2  = 323 = 278 p= V1:V2 p=278=0.2963



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