NCERT Textbook: Boxes and Sketches | Mathematics for Class 5: NCERT PDF Download

 Page 1


This chapter focuses on visualisation of 3-dimensional shapes and how they can be
represented on paper (in 2 dimensions). The representation used here are nets (like the
onesabove),layoutplansforahouse,andperspectivedrawings.
Boxes and Sketches
h
SweetBox
Ramyawenttobuysweets.Theshopkeepertookapapercut-out
andquicklymadealovelypinkboxforthesweets!
Look at the photoand make your own
box.Usethecut-outonpage201.How
fastcanyoufoldit?
After coming home Ramya unfolded the
box. She removed the extra flaps so the
cut-outlookedlikethis.
h She made four more shapes. Each is to be folded along the
dotted lines. Youhave to find out which ofthese can be made
intoabox.
126
a)
b)
c)
d)
This shape makes
a box. Let me see
what other shapes
will make a box.
9
ShapesthatFoldintoaCube
How many faces
does the cube
have? _____
ShapesforanOpenBox
127
Reprint 2024-25
Page 2


This chapter focuses on visualisation of 3-dimensional shapes and how they can be
represented on paper (in 2 dimensions). The representation used here are nets (like the
onesabove),layoutplansforahouse,andperspectivedrawings.
Boxes and Sketches
h
SweetBox
Ramyawenttobuysweets.Theshopkeepertookapapercut-out
andquicklymadealovelypinkboxforthesweets!
Look at the photoand make your own
box.Usethecut-outonpage201.How
fastcanyoufoldit?
After coming home Ramya unfolded the
box. She removed the extra flaps so the
cut-outlookedlikethis.
h She made four more shapes. Each is to be folded along the
dotted lines. Youhave to find out which ofthese can be made
intoabox.
126
a)
b)
c)
d)
This shape makes
a box. Let me see
what other shapes
will make a box.
9
ShapesthatFoldintoaCube
How many faces
does the cube
have? _____
ShapesforanOpenBox
127
Reprint 2024-25
This chapter focuses on visualisation of 3-dimensional shapes and how they can be
represented on paper (in 2 dimensions). The representation used here are nets (like the
ones above), layout plans for a house, and perspective drawings.
Boxes and Sketches
SweetBox
126
This shape makes
a box. Let me see
what other shapes
will make a box.
9
ShapesthatFoldintoaCube
A.Buddhawantstomakeapaper
cubeusingasquaredsheet.He
knows that all the faces of a
cubearesquares.
How many faces
does the cube
have? _____
h
h
h
h
h
Willboththeseshapesfoldintoacube?
Drawatleastonemoreshapewhichcanfoldintoacube.
Whatwillbetheareaofeachfaceofthecube?
Drawoneshapewhichwillnotfoldintoacube.
Lookaroundanddiscusswhichthingsaroundyoulooklike
acube.Listafew.
Remember the puzzles with five squares in chapter 3? You saw
12differentshapesmadewithfivesquares(page46).
Ifyoucutthoseshapesandfoldthem,someofthosewillfoldinto
anopenbox(boxwithoutatop).
ShapesforanOpenBox
Hedrawstwodifferentshapes.
127
Reprint 2024-25
Page 3


This chapter focuses on visualisation of 3-dimensional shapes and how they can be
represented on paper (in 2 dimensions). The representation used here are nets (like the
onesabove),layoutplansforahouse,andperspectivedrawings.
Boxes and Sketches
h
SweetBox
Ramyawenttobuysweets.Theshopkeepertookapapercut-out
andquicklymadealovelypinkboxforthesweets!
Look at the photoand make your own
box.Usethecut-outonpage201.How
fastcanyoufoldit?
After coming home Ramya unfolded the
box. She removed the extra flaps so the
cut-outlookedlikethis.
h She made four more shapes. Each is to be folded along the
dotted lines. Youhave to find out which ofthese can be made
intoabox.
126
a)
b)
c)
d)
This shape makes
a box. Let me see
what other shapes
will make a box.
9
ShapesthatFoldintoaCube
How many faces
does the cube
have? _____
ShapesforanOpenBox
127
Reprint 2024-25
This chapter focuses on visualisation of 3-dimensional shapes and how they can be
represented on paper (in 2 dimensions). The representation used here are nets (like the
ones above), layout plans for a house, and perspective drawings.
Boxes and Sketches
SweetBox
126
This shape makes
a box. Let me see
what other shapes
will make a box.
9
ShapesthatFoldintoaCube
A.Buddhawantstomakeapaper
cubeusingasquaredsheet.He
knows that all the faces of a
cubearesquares.
How many faces
does the cube
have? _____
h
h
h
h
h
Willboththeseshapesfoldintoacube?
Drawatleastonemoreshapewhichcanfoldintoacube.
Whatwillbetheareaofeachfaceofthecube?
Drawoneshapewhichwillnotfoldintoacube.
Lookaroundanddiscusswhichthingsaroundyoulooklike
acube.Listafew.
Remember the puzzles with five squares in chapter 3? You saw
12differentshapesmadewithfivesquares(page46).
Ifyoucutthoseshapesandfoldthem,someofthosewillfoldinto
anopenbox(boxwithoutatop).
ShapesforanOpenBox
Hedrawstwodifferentshapes.
127
Reprint 2024-25
I can make
open boxes
with both
these.
But with these
I cannot make
open boxes.
h
h
Findoutwhichoftheother8shapes(onp 46)canbefolded
tomakeanopenbox.
Drawmoreshapeswhichwillnotfoldtomakeanopenbox.
All boxes are not cubes. Here are some different kinds of boxes.
Matchtheshapeontheleftwithaboxintowhichitwillfold.
age
BoxesandBoxes
128
FloorMaps
Window
Window
Door
Window
Window
129
Making mental images of shapes is an important mathematical ability. Children will need
many exercises to visualise the net of a box, to think of how it looks when flattened, and also
to check which nets (like those on page 126) do not make a box.
A 3-dimensional perspective drawing has been called a 'deep drawing' so that children get a
sense of the need to represent depth. They should be able to see the difference between
deep drawings and layout plans.
Reprint 2024-25
Page 4


This chapter focuses on visualisation of 3-dimensional shapes and how they can be
represented on paper (in 2 dimensions). The representation used here are nets (like the
onesabove),layoutplansforahouse,andperspectivedrawings.
Boxes and Sketches
h
SweetBox
Ramyawenttobuysweets.Theshopkeepertookapapercut-out
andquicklymadealovelypinkboxforthesweets!
Look at the photoand make your own
box.Usethecut-outonpage201.How
fastcanyoufoldit?
After coming home Ramya unfolded the
box. She removed the extra flaps so the
cut-outlookedlikethis.
h She made four more shapes. Each is to be folded along the
dotted lines. Youhave to find out which ofthese can be made
intoabox.
126
a)
b)
c)
d)
This shape makes
a box. Let me see
what other shapes
will make a box.
9
ShapesthatFoldintoaCube
How many faces
does the cube
have? _____
ShapesforanOpenBox
127
Reprint 2024-25
This chapter focuses on visualisation of 3-dimensional shapes and how they can be
represented on paper (in 2 dimensions). The representation used here are nets (like the
ones above), layout plans for a house, and perspective drawings.
Boxes and Sketches
SweetBox
126
This shape makes
a box. Let me see
what other shapes
will make a box.
9
ShapesthatFoldintoaCube
A.Buddhawantstomakeapaper
cubeusingasquaredsheet.He
knows that all the faces of a
cubearesquares.
How many faces
does the cube
have? _____
h
h
h
h
h
Willboththeseshapesfoldintoacube?
Drawatleastonemoreshapewhichcanfoldintoacube.
Whatwillbetheareaofeachfaceofthecube?
Drawoneshapewhichwillnotfoldintoacube.
Lookaroundanddiscusswhichthingsaroundyoulooklike
acube.Listafew.
Remember the puzzles with five squares in chapter 3? You saw
12differentshapesmadewithfivesquares(page46).
Ifyoucutthoseshapesandfoldthem,someofthosewillfoldinto
anopenbox(boxwithoutatop).
ShapesforanOpenBox
Hedrawstwodifferentshapes.
127
Reprint 2024-25
I can make
open boxes
with both
these.
But with these
I cannot make
open boxes.
h
h
Findoutwhichoftheother8shapes(onp 46)canbefolded
tomakeanopenbox.
Drawmoreshapeswhichwillnotfoldtomakeanopenbox.
All boxes are not cubes. Here are some different kinds of boxes.
Matchtheshapeontheleftwithaboxintowhichitwillfold.
age
BoxesandBoxes
128
FloorMaps
Window
Window
Door
Window
Window
129
Making mental images of shapes is an important mathematical ability. Children will need
many exercises to visualise the net of a box, to think of how it looks when flattened, and also
to check which nets (like those on page 126) do not make a box.
A 3-dimensional perspective drawing has been called a 'deep drawing' so that children get a
sense of the need to represent depth. They should be able to see the difference between
deep drawings and layout plans.
Reprint 2024-25
I can make
open boxes
with both
these.
But with these
I cannot make
open boxes.
BoxesandBoxes
128
FloorMaps
Formakingahouseafloormap
is first made. Have you ever
seenafloormap?Hereisafloor
mapofVibha’shouse.Itshows
where the windows and the
doorsareinthehouse.
h Whichisthefrontsideofherhouse?Howmanywindowsare
thereonthefrontside?
a)
b)
c)
Window
Window
Door
Window
Window
From the floor map we cannot
make out what her house
really looks like or how high
the windows are. So we look
foraspecialwayofdrawingthe
housewhichisdeep—toshow
thelength,widthandheight.
Here are four
ofhouses.
WhichoneisVibha’shouse?
deep drawings
h
d)
129
Making mental images of shapes is an important mathematical ability. Children will need
many exercises to visualise the net of a box, to think of how it looks when flattened, and also
to check which nets (like those on page 126) do not make a box.
A 3-dimensional perspective drawing has been called a 'deep drawing' so that children get a
sense of the need to represent depth. They should be able to see the difference between
deep drawings and layout plans.
h Why do the other three deep drawings not match the floor
map?Discuss.
Reprint 2024-25
Page 5


This chapter focuses on visualisation of 3-dimensional shapes and how they can be
represented on paper (in 2 dimensions). The representation used here are nets (like the
onesabove),layoutplansforahouse,andperspectivedrawings.
Boxes and Sketches
h
SweetBox
Ramyawenttobuysweets.Theshopkeepertookapapercut-out
andquicklymadealovelypinkboxforthesweets!
Look at the photoand make your own
box.Usethecut-outonpage201.How
fastcanyoufoldit?
After coming home Ramya unfolded the
box. She removed the extra flaps so the
cut-outlookedlikethis.
h She made four more shapes. Each is to be folded along the
dotted lines. Youhave to find out which ofthese can be made
intoabox.
126
a)
b)
c)
d)
This shape makes
a box. Let me see
what other shapes
will make a box.
9
ShapesthatFoldintoaCube
How many faces
does the cube
have? _____
ShapesforanOpenBox
127
Reprint 2024-25
This chapter focuses on visualisation of 3-dimensional shapes and how they can be
represented on paper (in 2 dimensions). The representation used here are nets (like the
ones above), layout plans for a house, and perspective drawings.
Boxes and Sketches
SweetBox
126
This shape makes
a box. Let me see
what other shapes
will make a box.
9
ShapesthatFoldintoaCube
A.Buddhawantstomakeapaper
cubeusingasquaredsheet.He
knows that all the faces of a
cubearesquares.
How many faces
does the cube
have? _____
h
h
h
h
h
Willboththeseshapesfoldintoacube?
Drawatleastonemoreshapewhichcanfoldintoacube.
Whatwillbetheareaofeachfaceofthecube?
Drawoneshapewhichwillnotfoldintoacube.
Lookaroundanddiscusswhichthingsaroundyoulooklike
acube.Listafew.
Remember the puzzles with five squares in chapter 3? You saw
12differentshapesmadewithfivesquares(page46).
Ifyoucutthoseshapesandfoldthem,someofthosewillfoldinto
anopenbox(boxwithoutatop).
ShapesforanOpenBox
Hedrawstwodifferentshapes.
127
Reprint 2024-25
I can make
open boxes
with both
these.
But with these
I cannot make
open boxes.
h
h
Findoutwhichoftheother8shapes(onp 46)canbefolded
tomakeanopenbox.
Drawmoreshapeswhichwillnotfoldtomakeanopenbox.
All boxes are not cubes. Here are some different kinds of boxes.
Matchtheshapeontheleftwithaboxintowhichitwillfold.
age
BoxesandBoxes
128
FloorMaps
Window
Window
Door
Window
Window
129
Making mental images of shapes is an important mathematical ability. Children will need
many exercises to visualise the net of a box, to think of how it looks when flattened, and also
to check which nets (like those on page 126) do not make a box.
A 3-dimensional perspective drawing has been called a 'deep drawing' so that children get a
sense of the need to represent depth. They should be able to see the difference between
deep drawings and layout plans.
Reprint 2024-25
I can make
open boxes
with both
these.
But with these
I cannot make
open boxes.
BoxesandBoxes
128
FloorMaps
Formakingahouseafloormap
is first made. Have you ever
seenafloormap?Hereisafloor
mapofVibha’shouse.Itshows
where the windows and the
doorsareinthehouse.
h Whichisthefrontsideofherhouse?Howmanywindowsare
thereonthefrontside?
a)
b)
c)
Window
Window
Door
Window
Window
From the floor map we cannot
make out what her house
really looks like or how high
the windows are. So we look
foraspecialwayofdrawingthe
housewhichisdeep—toshow
thelength,widthandheight.
Here are four
ofhouses.
WhichoneisVibha’shouse?
deep drawings
h
d)
129
Making mental images of shapes is an important mathematical ability. Children will need
many exercises to visualise the net of a box, to think of how it looks when flattened, and also
to check which nets (like those on page 126) do not make a box.
A 3-dimensional perspective drawing has been called a 'deep drawing' so that children get a
sense of the need to represent depth. They should be able to see the difference between
deep drawings and layout plans.
h Why do the other three deep drawings not match the floor
map?Discuss.
Reprint 2024-25
Practicetime
1.Lookatthisfloormapofahouse.Makedoorsandwindowson
thedeepdrawingofthishouse.
h Are there any windows you couldn’t show on the deep
drawing?Circlethemonthefloormap.
2.Trytomakeafloormapofyourownhouse.
a) b)
c) d) e) f) g)
ADeepDrawingofaCube
Soumitroandhisfriendsmadedeepdrawingsofacube.
Thesearetheirdrawings.
I drew two squares like
this to show the front
face and the back face.
I joined the corners of the
squares like this to make the
deep drawing of the box.
ASimpleWaytoDrawaCube
The 2D representation of 3D objects is a matter of convention and is learnt by children
through experience. Here the conventional way of drawing the cube is given.
131
Window Window
Window
Window
Door
h
h
Whichofthedrawingslookcorrecttoyou?Discuss.
Can you add some lines to make drawing f) into a deep
drawingofthecube?
130
Reprint 2024-25