NCERT Solutions Class 5 Mathematics Chapter 9 Boxes And Sketches

1. She made four more shapes. Each is to be folded along the dotted lines.
You have to find out which of these can be made into a box.

(a) (b) (c) (d)
Ans. Cut outs (a) and (c) can be folded along the dotted lines to make a box.

2. Look at this floor map of a house. Make doors and windows on the deep drawing of this house.
Ans. 

3. Try to make a floor map of your own house.
Ans. A floor map of my house is as under:

4. Soumitro and his friends made deep drawings of a cube. These are their drawings.

(a) Which of these drawing look corrrect to you?
Ans. (a) The drawing numbered (d) and (e) look correct.

(b) Can you add some lines to make drawing (f) into a deep drawing of the cube?
Ans. (b) Yes, I can add some lines to make drawing (f) into a deep drawing of the cube as shown.

5. This cut-out is folded to make a cube.

Which of these are the correct deep drawings of that cube?

Ans. (a), and (e) are the correct deep drawings of the cube made out of the given cutout.

6. Make drawings to show how this bridge will look

(a) From the top
Ans. (a)

(b) From the front
Ans. (b)

(c) From the side
Ans. (c)

7. How many cubes are needed to make this interesting model?

(a) Here are some drawings for the model. Mark the correct top view drawing with ‘T’ and the correct side view drawing with ‘S’.

Ans. Number of cubes needed to make the given model.
= (5 x 5 x5) -7 x1-5x2-3x3-1x4
= 125-7-10-9-4
= 125-30 = 95
(d) -T (b) -S.

Question. Solid P is a cube. It has 8 corners. Solid Q is made by joining 4 cubes like P.
How many corners does solid Q have?

(a) 8
(b) 10
(c) 12
(d) 24

Answer : C

Question. Ramlal cuts a wooden solid into two parts with ONE straight cut. One of the two pieces he gets looks like this:
Which of the following could be the original solid that Ramlal had?

Answer : D

Question. Bunty's uncle gave him a box of sweets containing 'barfis' and 'laddoos'. In the next three days, he ate 10 'barfis' and 6 'laddoos' - after which, only 9 sweets remained in the box. (No one else took any sweets from the box).
Which of the following can be found from this?
(a) The total number of sweets that the box contained at the beginning
(b) The number of 'laddoos' eaten by Bunty each day 
(c) The number of 'barfis' that remained in the box
(d) The number of days that Bunty would take to finish the remaining sweets

Answer : A

Question. P, Q, R and S are four 4-digit numbers, each having the digit 9 only once and in the place shown. None of the other digits are known. What can be said with certainty about P, Q, R and S?

(a) S is the smallest of the 4 numbers.
(b) Q is larger than R
(c) P is the largest of the 4 numbers.
(d) S is the only odd number among the 4 numbers.

Answer : C

Question. Solid P is a cube. It has 8 corners. Solid Q is made by joining 4 cubes like P. How many corners does solid Q have?

(a) 8
(b) 10
(c) 12
(d) 24

Answer : C

Question. A solid object , when seen from one side, looks like this:

Answer : C

Question. A pyramid with a square base is stuck on top of a cube as shown below to form a wooden toy:
How many corners does the toy have?

(a) 16
(b) 13
(c) 9
(d) 7

Answer : C

Question. A cube has 8 corners.  The solid shown below is made by joining 3 cubes. How many corners does it have?

(a) 24
(b) 14
(c) 12
(d) 10

Answer : C

Question. Solid X shown below is formed by joining a cone on top of a solid cylinder with equal base. How many plane faces does solid X have?

(a) 0
(b) 1
(c) 2
(d) 3

Answer : B

Question. Mohan has 45 building blocks. He wants to stack up all the blocks so that each row has one less block than the row below, ending up with just 1 block on top.  How many should he put in the bottom row?

(a) 45
(b) 15
(c) 10
(d) 9

Answer : D

Question. Solid P is a cube. It has 8 corners. Solid Q is made by joining 4 cubes like P.
How many corners does solid Q have?

(a) 8
(b) 10
(c) 12
(d) 24

Answer : C