**Chapter 15 Visualising Solid Shapes Exercise 15.4**

Question 1.

A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these questions).

Solution:

When the light falls just above the solids.

(i) A ball; the shadow looks like a circle.

(ii) A cylindrical pipe; the shadow looks like nearly rectangular.

(iii) A book; the shadow looks like nearly rectangular.

Question 2.

Here are the shadows of some 3-D objects, when seen under the lamp of an overhead projector. Identify the solid(s) that match each shadow. (There may be multiple answers for these!)

Solution:

(i) The given shadow corresponds to a sphere.

(ii) The given shadow corresponds to a cube.

(iii) The given shadow corresponds to a pyramid.

(iv) The given shadow corresponds to a cuboid or a cylinder.

Question 3.

Examine if the following are true statements:

(i) The cube can cast a shadow in the shape of a rectangle.

(ii) The cube can cast a shadow in the shape of a hexagon.

Solution:

(i) The given statement is true.

(ii) The given statement is false.