If you had 36 cubes, what different cuboids could you make?
Cut differently-sized square corners from a square piece of paper
to make boxes without lids. Do they all have the same volume?
What size square should you cut out of each corner of a 10 x 10
grid to make the box that would hold the greatest number of cubes?
I went to the cinema with
some friends last week and we decided to buy some bags of popcorn
for during the movie.
My friend, Aimee, asked
about the prices.
"Three for the small, five for the medium size and the large size
is seven", the popcorn server replied quickly.
"Does the medium bag have
twice as much in as the small size?" Aimee asked her. "Of course it
does!" said the server, "The bag is double the size. See, it's
taller, it's wider and it's deeper."
We estimated that the size
of the small bag was 20cm by 10cm by 5cm.
I wonder if you can figure out which size belongs to which
We wondered what size the
large bag would be. The popcorn server told us, "Why, the large
size is double the size of the medium bag, of course".
"Do you mean each side is
two times bigger?" asked Aimee.
"Naturally!" said the
Do you think she is
How big would the large
size bag be?
If the small bag contains
one serving of popcorn, how many serving would the large bag
Do you think the popcorn
server was correct when she said that each bag was double the
What do you think she
should have said to better explain?
I wonder if a drum
container that was 20 cm high and 10 cm across the base (the
diameter) would hold more or less than the bag of popcorn.
Perhaps you could find
This problem is also
available in French: Double
Ton Popcorn, Augmente Ton Plaisir!