Visualize a cube. You know it has 6 faces, 8 corners, and 12 edges. Now, imagine a knife slicing away each corner with a straight plane cut. How many total edges are there now?
There are n lines in a plane ( may or may not be concurrent ) . Find out the maximum and the least number of regions that can be formed ?
Using points, straight lines, and possibly the curve of a parabola, construct a piecewise function whose graph looks like a smiling face.
P is a point inside triangle ABC. Lines are drawn through P parallel to the sides of the triangle. The three resulting triangles with the vertices at P have areas 4, 9, 49 sq units. The area of triangle ABC is