Class 7 Maths Visualising Solid Shapes Drawing Solids On a Flat Surface

Drawing Solids On a Flat Surface

We draw the surface of solids on a paper which is flat. The images of solids appear in such a way that they looks like three-dimensional. There are two techniques to draw it.

Oblique Sketches

Let us take an example of cube. The given picture shows how a cube looks like from the front. We are not able to see all the faces. Such a sketch of a solid is called an oblique sketch.

First, we take a squared paper. We draw an oblique sketch of a 3 * 3 * 3 cube i.e. each edge of cube is 3 units.

Step 1: Draw the front edge

 Class_7_Visualising_Solid_Shapes_Different_3D_Front_Edge

Step 2: Draw the opposite face having the same size in the left of faces in step 1.

   Class_7_Visualising_Solid_Shapes_Different_3D_Front_Edge1                                                        

Step 3: Join the corresponding corners.

      Class_7_Visualising_Solid_Shapes_Different_3D_Front_Edge2                                                     

Step 4: Redraw the hidden edges using blue lines.

  Class_7_Visualising_Solid_Shapes_Different_3D_Cube                                                        

This is the sketch of cube.

Isometric Sketches:

Let we want to draw an isometric sketch of cuboid of dimension 4 * 3 * 3. We take an isometric dot sheet. This sheet divides the paper into small equilateral triangles made up of dots or lines.

Step 1: Draw a rectangle to show the front face.

 Class_7_Visualising_Solid_Shapes_IsometricShapes

 

Step 2: Draw four parallel line segment of length 3 starting from the four corners of the rectangle.

      Class_7_Visualising_Solid_Shapes_IsometricShapes1                                                   

Step 3: Connect the corners with appropriate line segments.

   Class_7_Visualising_Solid_Shapes_IsometricShapes2                                                       

Step 4: This is an isometric sketch of the cuboid.

      Class_7_Visualising_Solid_Shapes_IsometricShapeOfCube                                                    

 

Problem: Give (i) an oblique sketch and (ii) an isometric sketch for each of the following:

(a) A cuboid of dimensions 5 cm, 3 cm and 2 cm.         (b) A cube with an edge 4 cm long.

Solution:

(a) A cuboid of dimension 5 cm, 3 cm and 2 cm.

   Class_7_Visualising_Solid_Shapes_IsometricShapeOfCuboid                          

 

 (b) A cube with an edge 4 cm long.

    Class_7_Visualising_Solid_Shapes_IsometricShapeOfCube_1     

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