What are the sides of a rectangular prism increased by if the volume increases from 54 mm3 to 3456 mm3?
1 answer:
Answer:
The sides of the original rectangular prism have been increased by a scale factor of 4
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x---> volume of the increased rectangular prism
y---> volume of the original rectangular prism
substitute
-----> the scale factor
therefore
The sides of the original rectangular prism have been increased by a scale factor of 4
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