You may also like

problem icon

Building Tetrahedra

Can you make a tetrahedron whose faces all have the same perimeter?

problem icon

Ladder and Cube

A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?

problem icon

Areas and Ratios

What is the area of the quadrilateral APOQ? Working on the building blocks will give you some insights that may help you to work it out.

Platinum Puzzle

Stage: 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

The volume of $1\textrm{ kg}$ of platinum is $(1000/21.45)\textrm{ cm}^3$, that is approximately $50\textrm{ cm}^3$. So $1$ tonne of platinum has an approximate volume of $50,000\textrm{ cm}^3$, or $1/20\textrm{ m}^3$. So about $5\textrm{ m}^3$ of platinum is produced per year, and so the total volume ever produced is $250\textrm{ m}^3%$. This is the same as a volume of a cuboid measuring $10\textrm{ m}\times5\textrm{ m}\times5\textrm{ m}$, which is similar to the size of a house.

This problem is taken from the UKMT Mathematical Challenges.