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AREA AND VOLUME

- Form 1 Mathematics
- Chapter 7

Reminder

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

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

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!!!!!!

Area of plane figures (p.2)

1. Area of triangle

2. Area of square

length ? length

3. Area of rectangle

length ? width

Area of plane figures (p.2)

4. Area of parallelogram

base ? height

5. Area of trapezium

Calculating areas (p.3)

- Splitting Method
- Filling Method

Area of the figure

18 cm2

Area of the figure

38 cm2

Time for Practice

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

WORKBOOK

WORKBOOK

16

36

10

260

cm2

36

36

10

(18 ? 26) cm2

468 cm2

260

468

728 cm2

WORKBOOK

3

3

18 cm2

728

18

710 cm2

Volume of Simple Solids (p.3)

1. Volume of cube

length ? length ? length

2. Volume of cuboid

length ? width ? height

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

Volume of Prisms (p.17)

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

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

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

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

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

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

Time for Practice

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

WORKBOOK

WORKBOOK

8

8

8

512

5

10

4

cm3

200

512

200

12d

4

3

d

12d 312

12d

cm3

26

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

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)

- Enjoy the world of Mathematics!