Volume and capacity

What is the largest cuboid you can wrap in an A3 sheet of paper?

If the radius of the tubing used to make this stand is r cm, what is the volume of tubing used?

An irregular tetrahedron has two opposite sides the same length a and the line joining their midpoints is perpendicular to these two edges and is of length b. What is the volume of the tetrahedron?

What fraction of the volume of this can is filled with lemonade?

A right circular cone is filled with liquid to a depth of half its vertical height. The cone is inverted. How high up the vertical height of the cone will the liquid rise?

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?

What size square should you cut out of each corner of a 10 x 10 grid to make the box that would hold the greatest number of cubes?

What is the volume of the solid formed by rotating this right angled triangle about the hypotenuse?