The paper sizes A0, A1, A2, ¼ are all similar
rectangles. That is, the ratio of (length÷width) is the same for all of them,
from the biggest to the smallest.
For any value of n,
two size A( n + 1 ) sheets can be made by cutting one sheet of size A
n in half.
A sheet of size A0
has area one square metre.
What are the
dimensions of a sheet of size A4, to the nearest millimetre?
Show by folding that a
sheet of size A4 really does have its side lengths in the ratio you have found.
A manufacturer makes blocks
of polystyrene foam in sizes called B0, B1, B2, etc, which are all similar
rectangular blocks, and for any value of n,
two size B( n + 1 ) blocks can
be made by cutting one block of size
Bn in half.
A block of size B0 has
volume one cubic metre.
What are the dimensions of
a block of size B6, to the nearest millimetre?
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