The volume of a prism changes from 20 to 540 after a dilation. what was the scale factor of the dilation?

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Henry

Mathematics

17 March, 06:06

The volume of a prism changes from 20 to 540 after a dilation. what was the scale factor of the dilation?

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Adelaide Goodman · Answer 1

Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.

Scale factor = 540/20

Scale factor = 27