A solid shape is generated by extruding a rectangle, out of its plane. The shape will be :
When we extrude a rectangle, a cuboid will be generated.
The top view will contain :
The top view will have 1 rectangle joined with a square.
The above figure is generated from 4 cubes; The number of squares in front view = x, number of squares in top view = y. (x + y) =
Number of squares in front view = 3
Number of squares in top view = 3
∴ x + y = (3 + 3) = 6
A cube is extracted from a well-arranged vertical cubes, which are 3 in number. When viewed form top, the number of edges will be :
Top view :
Number of edges = 7
The above solid contain 3 cubes. The number of edges will be : (cubes are of different dimensions)
When 2 cubes are joined, then the number of edges will be
= (12 + 12) – (4) = 20
When 1st cube is joined to the two cubes in desired manner then no. of edges
= (20 + 12) – (4) = 28
∵ cubes are of same dimensions.
Number of vertices in the given fig. is (cubes are of same dimension)
After joining of 2 cubes, a cuboid will be formed,
∴ No. of vertices = 8 After final joining, no. of vertices
= 8 + 4 = 12
The front view of the shape will have ---- edges.
The top view of a cone will be :
The top view of a cone contains circles with radii varying from zero to R, in radial directions (same centre)
A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :
The number of vertices in front view + number of vertices in top view - number of vertices in bottom view =
∴ Required no. of vertices = (3 + 6) – (4) = 5.
∵Top view has solid line, but the solid line will be invisible in bottom view.
∴Top view has 6 vertices and bottom view has 4 vertices.