Volume and capacity
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problemWhat is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it? -
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problemCylinder Cutting
An activity for high-attaining learners which involves making a new cylinder from a cardboard tube. -
problemA Jar of Teddies
How many teddies are in the jar? How many teddies could you fit in your classroom? -
problemThe Genie in the Jar
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?
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problemChocolate Cake
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
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problemPlutarch's Boxes
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?
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problemZin Obelisk
In the ancient city of Atlantis a solid rectangular object called a Zin was built in honour of the goddess Tina. Your task is to determine on which day of the week the obelisk was completed.
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problemBoxed In
A box has faces with areas 3, 12 and 25 square centimetres. What is the volume of the box?
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