AREA AND VOLUME

1
AREA AND VOLUME

• Form 1 Mathematics
• Chapter 7

2
Reminder

• Lesson requirement
• Textbook 1B
• Workbook 1B
• Notebook
• Folder
• Before lessons start
• Desks in good order!
• No rubbish around!
• No toilets!

3
Result of CBQ (Ch. 9)

• Result of Close Book Quiz
• Full mark 40 and 10 bonus
• Highest 44
• Lowest 10
• Average 23.8
• Number of students between 10 19 13
• Number of students between 0 9 0
• Major Problems
• Cannot get the drawing in rotation
• Cannot get the coordinates in transformation
• Mix up the rotation and reflection

4
Result of CBQ (Ch. 9)

• Result of Close Book Quiz
• 9th place KO Ka Chung Boston
• LIN Long Chak, Vincent
• 8th place FU Ling Yin, Larry
• 7th place LAU Cheuk Hei, Anson
• 6th place CHEN Yi, David
• 5th place CHAN Tsz Long, Sam
• 4th place YUEN Tin Wai, Timmy
• 2nd place LI Ming Chun, Edward
• WU SHAN Hao Yi
• 1st place LI Sai Kong
• Congratulations!!!!!! Well done!!!!!!

5
Area of plane figures (p.2)
1. Area of triangle
2. Area of square
length ? length
3. Area of rectangle
length ? width
6
Area of plane figures (p.2)
4. Area of parallelogram
base ? height
5. Area of trapezium
7
Calculating areas (p.3)

• Splitting Method
• Filling Method

Area of the figure
18 cm2
Area of the figure
38 cm2
8
Time for Practice

• Pages 10 11 of Textbook 1B
• Questions 5 18
• Pages 1 3 of Workbook 1B
• Questions 1 5

9
WORKBOOK
10
WORKBOOK
16
36
10
260
cm2
36
36
10
(18 ? 26) cm2
468 cm2
260
468
728 cm2
11
WORKBOOK
3
3
18 cm2
728
18
710 cm2
12
Volume of Simple Solids (p.3)
1. Volume of cube
length ? length ? length
2. Volume of cuboid
length ? width ? height
13
Prisms (??, p.12)

• A solid with uniform cross-section in the shape
  of a polygon is called a prism.
• A prism is named and classified according to the
  shape of its base.
• The perpendicular distance between the two
  parallel bases of a prism is called its height
  (or length).
• The faces (other than the two bases) of a prism
  are called lateral faces.

height
Triangular prism
14
Volume of Prisms (p.17)

• Volume area of base ? height
• e.g. Volume of the solid
• 260 ? 20 cm3
• 5200 cm3

15
Surface Areas of Prisms (p.14)

• Total surface area
• areas of the two bases
• total area of all lateral faces
• e.g. Total surface area of the solid
• 2 ? 260 6 ? (20 ? 10) cm2
• 1720 cm2

16
Volume of Prisms

• Volume of the triangular prism ?
• Area of the base of the prism
• ( 7 ? 4 ? 2 ) cm2
• 14 cm2
• So, the volume
• ( 14 ? 10 ) cm3
• 140 cm3

17
Volume of Prisms

• Volume of the rectangular prism (cuboid) ?
• The volume
• ( 5 ? 3 ) ? 6 cm3
• 90 cm3
• The volume
• ( 3 ? 6 ) ? 5 cm3
• 90 cm3
• The volume
• ( 5 ? 6 ) ? 3 cm3
• 90 cm3

18
Volume of Prisms

• Find the volume of the prism.

Area of base Volume of prism
(12 ? 7 8 ? 5) cm2 44 cm2
44 ? 11 cm3 484 cm3
19
Volume Surface Area of Prisms

• The figure shows a gold ingot in the shape of a
  prism. Its base is a trapezium, and the other
  faces are rectangles. If the volume of the gold
  ingot is 540 cm3, find(a) the value of d,
• (b) the total surface area of the gold ingot.

(a) Area of trapezium ? The volume of the gold
ingot i.e. 36d 540 d
15 (b) Total surface area of the gold ingot 2
? 36 2 ? (15 ? 5) 15 ? 12 15 ? 6 cm2
492 cm2
36 cm2
36d cm3
20
Time for Practice

• Pages 22 23 of Textbook 1B
• Questions 10 20
• Pages 6 7 of Workbook 1B
• Questions 3 6

21
WORKBOOK
22
WORKBOOK
8
8
8
512
5
10
4
cm3
200
512
200
12d
4
3
d
12d 312
12d
cm3
26
23
WORKBOOK
2.5
1
6
15
cm2
19
15
4 cm2
4
2 cm2
2
2.5
5
cm3
3
1
2
6 cm3
6 cm3
5 cm3
B
24
Reminder

• Missing Homework, Re-do Homework
• Today!
• SHW (I)
• Today!
• SHW (II)
• 22 Mar (Fri)
• Open Book Quiz
• 22 Mar (Fri)
• Close Book Quiz
• 26 Mar (Tue)

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• Enjoy the world of Mathematics!