A box has faces with areas 3, 12 and 25 square centimetres. What is
the volume of the box?
According to Plutarch, the Greeks found all the rectangles with
integer sides, whose areas are equal to their perimeters. Can you
find them? What rectangular boxes, with integer sides, have their
surface areas equal to their volumes?
This jar used to hold perfumed oil. It contained enough oil to fill
granid silver bottles. Each bottle held enough to fill ozvik golden
goblets and each goblet held enough to fill vaswik crystal spoons.
Each day a spoonful was used to perfume the bath of a beautiful
princess. For how many days did the whole jar last? The genie's
master replied: Five hundred and ninety five days. What three
numbers do the genie's words granid, ozvik and vaswik stand for?
Ken from Blessed Robert Johnson School thought
a cube would provide the optimum solution:
Elizabeth from Waverton CP School improved on
this by finding two cuboids where the length is approximately twice
the width and breadth (think of them as made up from two cubes