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Answer:
V = 162 ft³
Step-by-step explanation:
given 2 similar figures with ratio of sides a : b , then
ratio of volumes is a³ : b³
here ratio of sides = 3 : 1 , then
ratio of volumes = 3³ : 1³ = 27 : 1
this means that the volume of figure A is 27 times the volume of figure B
volume (V) of figure A is then
V = 27 × 6 = 162 ft³