Sunday, 4 November 2018

M5-L21 Measurement Practice : Volume and Word Problems


(Part 1) TEACHING(10-15mins)                                             Start Time:                 
1. Measurement of volume
(Part2) PRACTICE (45-60mins)
Start Time:                           
Complete the following (20-30 mins)
Rectangle
Find the breadth and volume
Area = 48 cm2., Length = 6 cm, Height = 3 cm          
(1) Breadth = __________
(2)  Volume = _________

Find the height and area
Length = 7cm,        Breadth = 5 cm,     Volume = 70 cm
(3)  Height = _____ 
(4) Area = ________   

Complete the following.
Square
Area = 16cm2      
(5)  side = _______       (6)        Volume = 
Volume = 8cm3
(7) Area = _____      (8)side = ________     

(II) PSLE/Word Problems (30 - 45 mins)                

9.   How many more cubes must you add to Figure 1 to form Figure 2? (18/16/p1/f)
(1) 26 
(2) 34 
(3) 36 
(4) 60                                                                                     (                       )

10.      The figure below shows beaker A and beaker B. At first, there is some water in Beaker A and no water in beaker B. (26/p1)
Gloria then pours some water from beaker A to beaker B. How much water is left in beaker A?

11. The capacity of a cup was 250 ml. The capacity of a water bottle was three times as much as the cup. What was the total capacity of the cup and water bottle?

12.      The total amount of water in the beakers below is poured into 2 pails without spilling. Each pail has the same amount of water. (18/9/p2/f)
How much water is there in each pail? Give your answer in ml. 
For Question 13 and 14.
A rectangular tank 32 cm long, 24 cm wide and 60 cm high, contains some water as shown in the figure below. The height of the tank is thrice the height of the water level. (18/14/p2/f)
13.   What is the height of the water level in the tank?
14.  How much more water is needed to fill the tank completely, without
overflowing? (Express your answer in litres.)

For question 15 – 17.
* Three containers with some water shown below. 
              
            (a) What are the values of A, B and C?
            (b) Which container has the most water
            (d) Which container had the least?


18.      A company sells plastic containers measuring 5 cm by 5 cm by 5 cm. The plastic containers are packed into cardboard boxes measuring 35 cm by 32 cm by 30 cm. What is the maximum number of plastic containers that can be placed in each cardboard box? (18/24/p1/s)

For questions 19 – 20.
The figures below show a rectangular tank P and a cubical tank Q.

Tank P measures 60 cm by 18 cm by 35 cm. It is completely filled with water. Both tap A and tap B were turned on at the same time for 20 minutes. Water flowed from tap A into tank P at a rate of 500 cm3 per minute. Water drained out from tap B at a rate of 800 cm3 per minute and was collected in tank Q. (16/p2/s)
19.   How many litres of water was left in tank P at the end of 20 minutes?
20.   Given that tank Q had a capacity of 64 litres, what would be the height
of the water level in tank Q at the end of 20 minutes?

21.      The figure below shows 8 identical cubes which are glued together to
form a solid. (4/p2/s)


The whole solid, including the base, is then painted blue. How many of the cubes have at least 4 of its faces painted blue?

Extra Practice
1*. An open rectangular box is shown below.
(a) The outside of the box including the base in painted. Find the painted area.
(b) When the box is packed full with 1-cm cubes, 
            (i) how many cubes are there?
            (ii) How many cubes touch the inside of the box?


2. The capacity of a cup was 250 ml. The capacity of a water bottle was three times as much as the cup. What was the total capacity of the cup and water bottle?

Measurement (Volume)
1.         8cm
2.         144 cm3
3.         2 cm
4.         35 cm2
5.         4 cm
6.         64 cm3
7.         4 cm2
8.         2 cm
9.         2
10.      30 ml
11.      1 l
12.      575 ml
13.      20 cm
14.      307.2 l
15.      160 l
16.      150 l
17.      0.2 l
18.      268
19.      31.8 l
20.      
21.      7

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