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'Next Size Up' printed from https://nrich.maths.org/
Class 5AM from St Peter's School,
Barcelona, worked on this problem in groups. Here
is their report.
Yusuf from Columbia Primary School
told us:
We made our cubes using modular origami. We had to measure each
piece of paper to make sure it was the correct size and that it
would make the right sized cube. We worked out the volume of each
cube and wrote it on the side.
Kathy and Pete from Barley Hill Primary
School decided to see what patterns they could find by making
cuboids.
First we drew the nets of our cuboids.
We noticed that the volume of our first set where we just added one
square to the length of the rectangle went up by $1$ each
time. The volume of our second set went up by $4$ each
time. This is different to the set of cubes in the problem
which went up different amounts each time because we only changed
one length of our shape.
Here is a picture of their graded
cuboids.
Well done for sending in your
pictures.
There are lots more shapes you could make -
you could see what happens to the volume if you change more than
one side of a cuboid.