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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!).
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Solution

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.

1148229_703933_ans_31a2bfb3d61c485185492fbdb42f40fa.png

Mathematics

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