3D Shapes Mock Tests

The equation of the plane passing through the point (1, 2, 3) and having normal vector 2î − ĵ + 2k̂ is:

The distance between the parallel planes 2x − 2y + z + 3 = 0 and 4x − 4y + 2z + 5 = 0 is:

The angle between the lines (x − 1)/1 = (y − 2)/2 = (z − 3)/3 and (x − 2)/3 = (y − 4)/−1 = (z − 5)/2 is:

A polyhedron has 6 faces and 8 vertices. How many edges does it have?

A hexagonal prism has how many edges?

A polyhedron has 10 faces and 16 vertices. The number of edges is:

The line (x − 1)/2 = (y − 2)/3 = (z − 3)/4 intersects the plane x + y + z = 6 at the point:

How many vertices does a cube have?