For this case we have the following relationship between the volumes:
Where,
V2: Volume of the triangular prism after applying the scale factor on each side
V1: Original volume of the triangular prism
k: scale factor
Substituting values we have:
Rewriting:
Answer:
the volume of the prism if each side is dilated by a factor of 1/3 will be
V = 1 cubic unit
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Answer: 3
Explanation:
She wants to get 70%, so we need to solve
x/20 = 70/100
Doing so gets us
100x = 20*70
100x = 1400
x = 1400/100
x = 14
She needs to have 14 questions correct, out of 20, to get a score of 70%
14/20 = 0.70 = 70%
She needs to get 14-11 = 3 more correct questions.