Proportional Scaling
ISEE Lower Level Quantitative Reasoning · Flashcards
ISEE LOWER LEVEL QUANTITATIVE REASONING · FLASHCARDS
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QUESTION
What is the new volume if the original volume is
27
27
27
and the linear scale factor is
1
3
\frac{1}{3}
3
1
?
QUESTION
What is the time needed to travel
150
150
150
miles if you travel
100
100
100
miles in
2
2
2
hours?
QUESTION
What is the volume scale factor when the linear scale factor is
2
3
\frac{2}{3}
3
2
?
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ANSWER
Volume factor
=
(
2
3
)
3
=
8
27
=\left(\frac{2}{3}\right)^3=\frac{8}{27}
=
(
3
2
)
3
=
27
8
. The volume scale factor is the cube of the linear scale factor for similar solids.
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