Question

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 many answers for these!).

Answer 1

Given,

to identify different views of a $3$D objects.

But,

Assuming directly $3$ dimension views of a object is quiet difficult, so now inorder to find out the different views let us take a lamp and try to analyse the shades of every particular geometry figure thus given

(i) circle.

so when light is focused on to the circle we get a view of a sphere as shown below in figure.

$\therefore$ The circle can we have different views like spherical or circular objects.

(ii)Trinagle:

when light is passed through triangle it looks like figure b

view of triangle when light is focused on to it.

Triangle can be viewed as a triangular prism.

$\ast$ It can be viewed as a triangular shapes on right prism with triangular base.

(iii) square:

When light gets focused on to square it looks as figure.

the view of square when light is passed through it

$\ast$ A square looks like a cube or square sheets.

(iv) Rectangle:

When light gets focused on to rectangle it looks as figure.

The view of rectangle will be as a cylinder when exposed to light.

$\ast$ A rectangle looks like a cylinder or rectangular sheets.