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Volume Videos 8 videos
Volume is crucial to our lives. It determines the amount of food we eat, the amount of fluid we drink, and hydraulics, just to to name a few. One o...
ACT Math: Plane Geometry Drill 3, Problem 2. Can you find the volume of this right circular cylinder?
The formulas for the volumes of pyramids and cones are strangely similar. Actually, they're exactly the same: just multiply 1/3 by the base area by...
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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