Math POW Solution from Feb, 28th

Thus we see that the box which is a cube requires the least amount of cardboard. (This is true
for any rectangular box of fi xed volume, even when the side lengths are not whole numbers,
but the proof requires more advanced mathematics.) There are other possible boxes because the side lengths must be whole numbers, and the base of the box must be some integer multiple of 12 cm by 6 cm (to have no empty space), with a total volume of 24 x 72 cubic centimetres,
there are only a limited number of possibilities.
Extension:
1. Since the 24 mp3 players will exactly fit in 2 vertical rows of 12 in a 12 cm by 12 cm by 12 cm
box, the 'minimal' box will be the same as for horizontal packing. Note that this only works
because a row of 12 mp3 players packed vertically is 6 cm by 12 cm by 12 cm, which is exactly
the same as a column (stack) of 12 mp3 players packed horizontally, due to the thickness being
1 cm.

Extra Practice/Review for Volume and Total Surface Area of Rectangular Prisms

http://www.mathatube.com/rectangular-prism-worksheets.html
Open the above link for further review of volume & total surface area of rectangular prisms.  There is an answer key.

Math POW - due Fri., Feb. 28th (Work with a partner or group - use Google Docs)

Hints
Hint 1 - a) How many cubic mm equal one cubic cm?
Hint 2 - b) If the 24 mp3 players were packed in three stacks of 8, what would be the box dimensions?
What other sets of stacks might work?
Hint 3 - c) What are the lengths of the sides of each of the boxes you designed in part b)? How
many pairs of identical sides are there?
Extension:
Hint 1 - If the 24 mp3 players were packed vertically in three rows of 8, what would be the box
dimensions? In what other ways could you choose the rows?

In-class Math POW - due Wednesday, Feb. 19th

Challenge Activity in Surface Area:
http://www.virtualmaths.org/activities/shapes/semicylinder#

Volume

The Cubic Metre

 What does the following: 1m cubed = 100cm x 100cm x 100cm = 1 000 000cm cubed - have to do with the video? (Post your response.)

Math POW - in-class - Due Tuesday, Feb. 11th

  The store has __________ grams of potatoes left.

Math POW Solution

Remember there is more than one possible way to get the correct answer.  Here is one way.  This answer was considered a Level 4.  How does this answer compare to your answer?

Math POW - due Fri., Feb. 7th

Read the question below very carefully. Highlight the key pieces of information and ask yourself (metacognition) what you need to know. Break the question down into parts. This question is tricky if you don't think it through. Try the question without a calculator.  You may check your answer with a calculator.