Every now and then you’ll see a cube on the SAT in which a dotted line connects vertices on other ends of the cube. Your job is to find that line. This usually requires that you have to use the Pythagorean theorem twice (talk about cumbersome!). Luckily, I’m here to the rescue. When ever you are dealing with a cube—and notice I said cube and not box—the length of the line connecting two vertices that are at opposite corners of the cube is always s√3, where s is the length of one side of the cube.
Yep, that’s it. Cool little formula to keep in mind. Now the SAT isn’t always going to make such questions a cakewalk. So keeping in line with that devious spirit, I’ve crafted a question involving this concept.
Watch the video below and see if you are able to get the right answer!
If you have any questions for me, feel free to leave them in the comment box below! 🙂
Chris Lele is the GRE and SAT Curriculum Manager (and vocabulary wizard) at Magoosh Online Test Prep. In his time at Magoosh, he has inspired countless students across the globe, turning what is otherwise a daunting experience into an opportunity for learning, growth, and fun. Some of his students have even gone on to get near perfect scores. Chris is also very popular on the internet. His GRE channel on YouTube has over 10 million views.
You can read Chris's awesome blog posts on the Magoosh GRE blog and High School blog!
You can follow him on Twitter and Facebook!
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SAT Question of the Day
The price of a pair of sneakers was $80 for the last six months of last year. On January first, the price increased 20%. After the price increase, an employee bought these sneakers with a 10% employee discount. What price did the employee pay?