Isometric Sketches of Cube and Cuboid Video Lecture | Mathematics (Maths) Class 7

hello friends this video on visualizing
solid shapes part 13 is brought to you
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so let us try try to draw an isometric
sketch of a cube so here on the right
hand side you see an isometric dot sheet
and on the left-hand side you have the
squared paper on which we generally draw
the object sketch so how would the
object sketch of a cube would be so the
oblique sketch would be somewhat like
this the frankly is the back face and
then connect the front and the back
faces with parallel lines now let's say
that in this case we are trying to draw
a cube of the additional three by three
by three that is each side should be one
to three centimeters so in case of the
oblique sketch we are not sure even if
all the three sides are equal or not but
we have drawn a figure looking at which
you feel that it looks like a cube and
that's how you see that it is a Q but an
isometric sketch now you see how we will
draw so one side the length of each side
is 3 centimeters so we have drawn a line
of length 3 we don't know whether it is
3 centimeters or not but 3 units
that's because one two and three three
units we have drawn one line we draw
another line of three units one two and
three so we are taking care of one
particular dimension right now let's
also draw another line of three
centimeters so this also one two three
seven eight this is also one two three
so this ensures that all these four
sites which have been drawn so far they
are all exactly equal in length so
doesn't matter if it is exactly three
centimeters or not but at least this map
map
matter is ensured that all the sites are
exactly equal because all of them have
been drawn using the same convention and
we know that the distance that we have
considered here that's that that acts as
our reference right so we have
considered that this is
let's say three centimeters so in a
similar way we want to ensure that the
width is also 10 centimeter long instead
of considering the depth directly like
this because if you draw it vertically
or horizontally again you will not get a
3d look so therefore we draw this depth
also has three centimeter so you see
here also one two three and that's how
you think that that and you join these
to get a cube so this is one way of
drawing what you want isometric sheet
now let us look at another way of
drawing the same cube on the isometric
XI and so you see that how do we give a
very different look of the same view in
this is what we will do is we will just
draw the vertical lines vertically and
both the horizontal lines being a
drawback I mean entire building that is
at some angle to the baseline so let's
say this is one horizontal line this is
not a horizontal line so let's say that
these three axes represent the three
dimensions let's say this is the height
this is the length and this is the width
and each one of these is three
centimeters right so how do you draw the
other lines in these keys somewhat like
this because you would have a surface
which would be a square here so you have
to have a line which is parallel to the
same
similarly you would have another line
like this rather line like this and you
see you gradually get a
three-dimensional object which is a cube
so this is a different view so even
though this is the same cube with this
this looks as if you are looking at the
cube from the top view so this gives you
would talk do you kind of a thing so in
this fashion we draw it so matrix a
sketch and isometries sketches
ensure that the dimensions are
proportional to that of the actual
object now let's draw this a similar
isometric stage for a cuboid so this is
how we draw the organic sketch so for
the same whew boy the isometric sketch
should be somewhat like this
say that you want to draw a cuboid of
dimension 4 by 2 by 1 so the length is 4
units the width is 2 unit and the depth
here is 1 good so therefore you see the
depth has been taken as just one unit so
you join these companies so you get a
few boy so in a similar fashion here
also you can draw it in this fashion
where you draw the height the vertical
line like this and you consider one
horizontal axis as 4 units the other
artists on the Laxus 1 units and then
you draw lines parallel to this all the
axis because for each at each one of the
XS you have one face so you draw lines
parallel to each axis and then that's
how you end up having about cuboid so
you seek the taking the view of this
cuboid is very much different but it is
a three dimensional view but this also
ensures that your cuboid conforms with
the dimensions which I'm given in your
problem so even if it doesn't measure
exactly 4 centimeters by 10 centimeters
by 1 centimeter but at least the 3 legs
are in the ratio for us to 2 is to 1 so
here when you look at this view by from
Frank this is what you can see but there
are certain lines which are hidden in
that those are these lines so you see
these are the hidden lines which if you
look at it from the front you might not
be able to see them so this proves that
with isometric sketches it is more
accurate because at least the sides are
in the same ratio as that of the actual
object so it gives you an even better
view of the real three-dimensional
object thank you
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