Thanks for stopping in and sharing your thinking. I wish I had a friend who would offer to give me $1M in pennies! But considering the weight, I might have to store them in my basement. I think my floors might buckle!

You have some solid reasoning. It makes me wonder what take up more space (and weigh more), though:

$1M in pennies or $1M in nickels?

Thanks again for the comment! Hope to hear from you again soon!

]]>I estimate the answer this way: 100,000.00 pennies / 50,176 pennies = 1992.98 Cu Feet of pennies which would fill a 20 X 20 foot room stacked 5 feet high and would weigh 281.25 tons

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In your solution you have 367 6 packs of soda, but they are 12 packs right? So shouldn’t the answer of how many cans of soda be 367 x 12 and not 6?

]]>Great question. It prompted me to take another look at the solution and the solution posted is off by 4. I’ve fixed it now. Your solution is off by exactly 20 and this is pretty common. I made the same mistake at first! On the 7th and 9th rows from the bottom, there are ten12-packs of soda that have been turned so the long rectangular face of the box is toward the camera rather than the square face. There are 2 more 12-packs behind each of these “reoriented” 12-packs. 2 more of these multiplied 10 times gives the 20 that you’re missing.

I gave you the solution which is something I wouldn’t do with students. The opportunity for students to engage in finding out where the “missing” 12 packs are is too important. I’d love to see your students’ work if you’re willing to share. Thanks again for the comment.

Mike

]]>Thank you for sharing your math thinking. Using millimeters is a much more precise way to measure. I kind of wish I had thought to use millimeters now! When you watch the reveal in the third act (if you haven’t already) that shows how many pennies actually fit in the cube, how does your answer compare? If you were to notice a difference between your answer and the actual number of pennies in the cube, how might you account for that? I look forward to hearing about more of your math thinking. Thanks again for sharing!

Mike Wiernicki, Math Teacher

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