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Area and Volume Videos 5 videos

CAHSEE Math 4.2 Measurement and Geometry
355 Views

Measurement and Geometry Drill 4, Problem 2. If the dimensions of a rectangular prism were all halved, the resulting volume would be how much...

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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?

Language:
English Language

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

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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