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?
Find a cuboid (with edges of integer values) that has a surface
area of exactly 100 square units. Is there more than one? Can you
find them all?
What is the greatest volume you can get for a rectangular (cuboid)
parcel if the maximum combined length and girth are 2 metres?
The diagram shows a rectangular box (a cuboid).
The areas of the faces are $3$, $12$ and $25$ square
What is the volume of the box?
The areas of the faces of a cuboid are p, q
and r. What is the volume of the cuboid in terms of
p, q and r?