IKMC 2027 - Grades 9-10 - Self-study SET 5 - Thematic Batch 3 Question 13

Question 13

The diagram shows a cube of edge 1 m and a tetrahedron whose edges are face diagonals of the cube. By how many cubic metres does the cube’s volume exceed the tetrahedron’s?

Question illustration

$\frac{1}{3}$
$\frac{2}{5}$
$\frac{1}{2}$
$\frac{3}{5}$
$\frac{2}{3}$