It is known that the area of the largest equilateral triangular
section of a cube is 140sq cm. What is the side length of the cube?
The distances between the centres of two adjacent faces of another
cube is 8cms. What is the side length of this cube? Another cube
has an edge length of 12cm. At each vertex a tetrahedron with three
mutually perpendicular edges of length 4cm is sliced away. What is
the surface area and volume of the remaining solid?
From the measurements and the clue given find the area of the square that is not covered by the triangle and the circle.
Scientist Bryan Rickett has a vision of the future - and it is one
in which self-parking cars prowl the tarmac plains, hunting down
suitable parking spots and manoeuvring elegantly into them.
A white cross is placed in a red disc as shown and the resulting
figure is symmetrical.
What is the area of the disc still showing?