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CAHSEE Math 5.1 Measurement and Geometry 189 Views
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Description:
Measurement and Geometry Drill 5 Problem 1. A parcel of land measuring 64 square kilometers is equivalent to an area of how many square miles?
- Algebra and Functions / Unit Conversion
- Mathematics and Statistics Assessment / Modeling and Applications
- Functions / Functions as Models
- Geometry / Apply geometric concepts in modeling situations
- Properties, Measurement, and Dimension / Apply geometric concepts in modeling situations
- Measurement and Geometry / Conversions
Transcript
- 00:03
Here’s an unshmoopy question you’ll find on an exam somewhere in life...
- 00:08
A parcel of land measuring 64 square kilometers is equivalent to an area of
- 00:13
how many square miles? Hint: 100 kilometers equals 62.5 miles…
- 00:18
And here are the potential answers...
- 00:23
Ok, this question is testing our singing ability.
Full Transcript
- 00:26
C’mon everyone... this land is your land/ this land is my land… no? Ok. Party poopers.
- 00:33
It’s just a vanilla area conversion problem. They give us that 100 kilometers is 62 and
- 00:38
a half miles so if we take that to the unit level, 1 kilometer is about .625 miles.
- 00:44
Since 1 kilometer is about .625 miles, this tells us that miles are bigger than kilometers.
- 00:50
Makes sense. America’s bigger than England.
- 00:53
They give us the 64 kilometers as part of the question.
- 00:57
So we can immediately eliminate C and D, since only 2 of the answers are less than 64.
- 01:02
To convert kilometers and miles to SQUARE kilometers and SQUARE miles, we can just square .625.
- 01:08
Since we want to find the how many square miles are in 64 square kilometers, we can
- 01:13
multiply .625 times 64 to get 25 miles squared.
- 01:19
Looks like the answer is A.
- 01:21
As in… “American Idol is calling…”
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