The diagonal d of the cube with the side a is
d2=a2+a2+a2=3a2
d=3a Given d=203 cm.
Then
a=3d=3203=20(cm) The radius r of the circle inscribed in the square with the side a is
r=2a Then we have the right circular cone inscribed in a cube with the side a
radius=r=2a, height=h=a
h=20 cm The altitude of the cone is 20 cm.
Comments