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CAHSEE Math 4.2 Measurement and Geometry 355 Views
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Description:
Measurement and Geometry Drill 4, Problem 2. If the dimensions of a rectangular prism were all halved, the resulting volume would be how much smaller than the volume of the original prism?
Transcript
- 00:03
Here’s an unshmoopy question you’ll find on an exam somewhere in life.
- 00:07
If the dimensions of a rectangular prism were all halved…
- 00:10
…the resulting volume would be how much smaller than the volume of the original prism?
- 00:16
And here are the potential answers...
- 00:21
This question is testing our ability to compare
Full Transcript
- 00:23
the volumes of rectangular prisms with their different dimensions.
- 00:28
The formula for calculating the volume of a rectangular prism is length of base times
- 00:32
width of base times height.
- 00:37
Assuming we label our original length, width and height with the variables x, y, and z…
- 00:42
…the volume of our original prism is x times y times z.
- 00:48
The dimensions of the smaller prism would be 1/2x by 1/2y by 1/2 z...
- 00:55
so the volume would be 1/8 xyz.
- 01:01
Since the original prism has a volume of xyz, the smaller prism has a volume 1/8 of the original.
- 01:09
Were you supposed to know this off the top of your head?
- 01:11
No, that's why we give you these problems, so you have a pattern.
- 01:15
Anyway, looks like our answer is C.
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