Puzzles and Brainteasers, Set 4
Patterns in Area and Volume
Back in October I had presented at the Ventura County Math Council's Mini-Conference. The theme for the workshop was "Puzzles, Patterns, and Problem Solving." We had around 30 middle school teachers and student teachers in the audience. Below are two patterns (Cut-Block and Blocks) of the five patterns that I'd asked the group to work on and discuss.
The equation I came up with for the "Area" of the Blocks (second pattern) just doesn't look elegant and would love to see what others get.
If the edge of each cube has a length of one unit, what is the surface area of the figures in each set? What is the volume of the figures in each set? Fill in the table accompanying each set of figures.
This is one of the rate problems on a worksheet that my Algebra kids work on.
One candle burns entirely in 6 hours, and another burns entirely in 9 hours. The candles were lit at the same time, and they were the same height when lit. After how many hours will one candle be half the height of the other?
My geometry students get this one for their weekly PS.
Radii of Two Circles
The radii of circles C and D are each 3 units long. The two circles are tangent at point E. Side AB of rectangle ABCD is tangent to circle D at point A and tangent to circle C at point B. What is the area of the shaded region?
If you need answers or solutions to any of the problems, please email me at email@example.com or leave a comment. Thank you!