NCERT Solutions for Class 5 Maths Chapter 9 – Boxes and Sketches
Page No 127:
Question 1:
Buddha wants to make a paper cube using a squared sheet. He knows that all the faces of a cube are squares.
He draws two different shapes.
• Will both these shapes fold into a cube?
• Draw at least one more shape which can fold into a cube.
• What will be the area of each face of the cube?
• Draw one shape which will not fold into a cube.
• Look around and discuss which things around you look like a cube. List a few.
Answer:
• Yes, both the shapes will fold into a cube.
• The shape which can fold into a cube is shown below. 
• We know that, each face of the cube is a small square. Area of small square is 1 square cm. Thus, the area of each face of the cube is 1 square cm.
• The shape which cannot fold into a cube is shown below. 
• The shape of die, sugar cubes, ice cubes, etc. resembles that of a cube.
Page No 128:
Question 1:
All boxes are not cubes. Here are some different kinds of boxes. Match each shape below with a box into which it will fold.
Answer:
Page No 129:
Question 1:
For making a house a floor map is first made. Have you ever seen a floor map? Here is a floor map of Vibha’s house. It shows where the windows and the doors are in the house.
• Which is the front side of her house? How many windows are there on the front side?
(a) 
(b) 
(c) 
(d) 
Here are four deep drawings of houses.
• Which one is Vibha’s house?
• Why do the other three deep drawings not match the floor map? Discuss.
Answer:
• Front side of Vibha’s house is encircled in the above image.There are two windows and one door on the front side of the house.
• The front side of Vibha’s house has one door and two windows.
• The figure (c) represents Vibha’s house.
Page No 130:
Question 1:
Look at this floor map of a house. Make doors and windows on the deep drawing of this house.
• Are there any windows you couldn’t show on the deep drawing? Circle them on the floor map.
Answer:
The doors and windows on the deep drawing of the house is shown below.
There are 2 windows that could not be shown on the deep drawing. These windows are encircled on the floor map as shown below.
Question 2:
Soumitro and his friends made deep drawings of a cube.
These are their drawings.
(a) 
(b) 
(c) 
(d) 
(e) 
(f) 
(g) 
• Which of the drawings look correct to you? Discuss.
• Can you add some lines to make drawing (f) into a deep drawing of the cube?
Answer:
• The drawings (d), (e) and (g) are correct.
• The deep drawing of a cube after adding lines to figure (f) is shown below:
Page No 131:
Question 1:
This cut-out is folded to make a cube.
Which of these are the correct deep drawings of that cube?
(a)
(b)
(c)
(d)
(e) 
Answer:
The correct deep drawings of the given cube are :
Question 2:
Make a deep drawing of a box which looks like this.
Answer:
The deep drawing of the given box is shown below.
Page No 133:
Question 1:
• If you look at the bridge from the top, how will it look? Choose the right drawing below:
a) 
b) 
• Look at the photo and try to make a deep drawing of this bridge.
Answer:
The top view of the bridge is shown below.
The deep drawing of the bridge is shown below.
Question 2:
Make drawings to show how this bridge will look
• From the top
• From the front
• From the side
Answer:
The top view of the bridge is shown below.
The front view of the bridge is shown below.
The side view of the bridge is shown below.
Question 3:
Make a matchbox model which looks like this.
• Also make a deep drawing of the model in your notebook.
Answer:
Disclaimer: Students are advised to prepare the answer on their own.
Question 4:
How many cubes are needed to make this interesting model?
• Here are some drawings of the model. Mark the correct top view drawing with ‘T’ and the correct side view drawing with ‘S’. 
(a) 
(b) 
(c) 
(d)
Answer:
Number of cubes in the top layer = 4 + 5 = 9
Number of cubes in the second layer from top = 4 + 5 + 3 + 4 = 16
Number of cubes in the third layer from top = 4 + 5 + 3 + 4 + 2 + 3 = 21
Number of cubes in the fourth layer from top = 4 + 5 + 3 + 4 + 2 + 3 + 2 + 1 = 24
Number of cubes in the bottom layer = 4 + 5 + 3 + 4 + 2 + 3 + 2 + 1 + 1 = 25
Total number of cubes in the model = 9 + 16 + 21 + 24 + 25 = 95
The correct drawing for the top and side view is given below:
T , S