(a)
第張四
英文中學FI
英算科先脩專欄
六初月七年未丁尼莒
金繼賢
逢星期三五刊 =
LESSON
STY-EIGHT
1967
CHAPTER SIXTIEN
VOLUMES
A solid like an ordinary box, each face of which is a rectangle is called a RECTANGULAR SOLID or a
CUBOID; and if each face is a square, the solid_is called a CUBE.
A cube, sach edge of which is 1 in, long, is' called a CUBIC INCH block. its volume is one cuvio inch or 1 cum ih.
EXAMPLE 1
if the cuboid is 9 in, long, 7 in. broad and 6 in. high, then we say ita VOLUME 1a (9 x 7 x 6) cu. in. or 378 cu. in. The shape of the cuboid 1. said to be measured by "9 in. by 7 in. by 6 in."
Volume of Cuboid — Length x Dreadta x height
(Area of Base) x Height
.
In snort: V-
L x B x H ;
The internal peasurements of a box are 10 ft.
by 8 ft. bv 7 ft.; find the volume of the box, SOLUTION: The required volume
10 x 8 x 7 cu. ft. 560 cu. ft.
ANSWER: The required volume is 560 cur ft.
BXAMPLE 2
The volume of a rectangular tank is 840 cu. in. it is 24 in. wide and 5 in."high; find the length.
SOLUTION: Since Length Volume + Width + Height, therefore, the required length
***** (840+ 245) in. 2.10.
JANM WITHI The required length is 2 in.
AMPLE 3
A roll of carpet 2 ft. 6 in. wide, is sold at 5s. per ft. length. Find the cost of the carpet for a piece 14 yd. 2 ft. long and 15 ft. wide
SOLUTION: Bince the carpet 19 8010 in the form oi a rectangle, 30 in. wide; and 1 ft. long corta 10s.
Therefore, q. Ft. cost 好治,
Therefore, 1 sq. ft. costs 2s., so the cost of the carpet is (44 x 15 x 2) 8. 1.0. 1,3209, or £66,
ANSWER: The cast of the carpet is £56.
EXAMPLE 4
Find the rise in the water-level caused by pumping 200,000 gallons of water into a.awimmtig pool, 160 rt, long and 100 ft. wide, given that a du. ft. 61 gallons...
SOLUTION
Since 200,000 gallons
And the area or the surface of the water in the *syimming-pool 1s (160 x 100) ún. st. 16,000 aq,
Therefore, the rise of the water-level
wl: 132,000 )克 (200,000+6tY
ANSWER:
EEXAMPLE SE
(32,000 16,000) ft. 1.e, 21
The required rise in water-level is 2
A tank of uniform cross-section. holds 12.5 gallons
of water. The dimensions of the base is 2 ft. long and
B in, wide, internal measurements; find the internal
baight, given that 1 cu. ft. » 6i gallons.”
BOLUZIONA
"10 gallons of water – (10 3:61) au.ft.
Therefore, volume of the tank w
4 2 1,728 cu. in. m 3,456 m. in.
Tay Area of the bass — 24 in. x 8 in. m 192 m. in. So, the internal helgät - Volume 4+ (Area of Basa)
* 3,456 cu. in. †192 #q, in
18 in. or 1- ft. 6 in.
ANSWER: The internal height of the tank is 1 ft., 6in.
EXANELE 6
km The dimensions of the gross-section of a metal går. der are shown in inches in the given diagram. If the metal weighs 8 oz. per cú, in., find the weight of th. "girder"per" "foot-run.
SOLUTION:
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商業中文第二台 英文革资科 第廿七 梁永基先生空端
LESSON TWENTY- SEVEY
CHAPTER TWENTY
TEST 1 CONTINUEL
A father to 30 years older tash his. nom.
The so
5 years older than his sister. If the mother is 7 year
younger than the father, by how many years is the mother older than the daughter?
61. Father is 14 times as old another. Mother in
4 times as old as her son. If they y your aid,
by hogany youm is ha yonnaga pakk bå father?
£2. In aparato axamination 27%
氛
播出日期八月十一日下午七時半至八時
76. The length, breadth and height of a room at
shown. How much would it coat to have the d wails
painted at 5 cents a square food?
Y
20
77. The sides of a tank are 18 ft 8 mm; 4 ft, 4 ba, and 3 in How many cubio feat of water can it hold?
78. A rectangular block of wood is $'chek long, 2 chek wide and 1 chek high. It is to be cut into cubes
tes
pe R 150 candidates failed, *
sat for
candidates
1 A boyed a certain sum of money. His father
Increased it by 50%. If the total savings amounted
to £131.70, how much bad bis father pat ini.
A man waak6 days a wack and earn $to a dayu
Ans. $
There 1250 gallons
He pays 40 cents for bus faces and $110, fog lusal every day that his works. How much
hing home in 3 weski?
65–Finh ta sold at $2
"What changs do
63. A bought
profit of 20%
much did C pay?
on ball-going pan and
Sound ka had ja 42 on loft. How oh had he
1. Alue prodig of what she had fa a closccE,
of the pendleder on a story, book and 2 of the neŃ
maladar on cairas and drinks Joan was leds will
pocket How much had Jean when she Best ipartod pall
Pr
3 gallons of wine $50.00 rallen tied with galons of wline ¥ ¥40.00elion id 2. gallsaw
of water are added What is the cess price per gallon of the wine thus produce?
7. Find the area of the shaded part of the recta:
Ass. & mitattz191420
Bok momen
86.
Pagtangular metal bar is 3 yards long. fachan and 2 inches high. Find the weight of the bag Beuble foot of it weighs 160 15
alone in i cable foot of water, ZE pred into the rectangular, tank as will be the depth of the water in the
EL. P and Q started from the monk place at thủ nema
time" for the same. tom. P walked at a speed of
sook 0 4 hours, 30w much longer would it take P
$2. A car covered
journey in 30 minutes at a spood of 30 mph and the remaining diutanck in 20 minded at 36 What was the avenge spond
aoe he whole Joueskyt
kway and claims Begin at 9:00 ans,
sand of 30 mph. His bicyola Inoku down, Ki 235 sm, Ai whan spoed must ho walk tha mua of
vky if he wishes to be at school antimal
Towns X and Y are 60 miles apart. A train sormaby
travels, at 30 mph. If it ware to tyvel, from X-to-
“I at a speed of 40 mph, and from I to X ut a
- apced of 20 mph, how much longer" "would the
double journay take?
1piculs of beans were bought at $1.30 per catty,
The total dailvery chaigs is $5:00. A what prins per catty musi it be sold, to make a profit of 20%7.
A man spent $ 60.00 on buying age at $30-00-per
100. Some of the eggo, warn had and had to ba
thrown away. He sold the good and at $3.00 a
„dosen, and made a profía: of 20% on the whole. How
many bad aggs wars thatař-
100
25 ft.
Ask #mesow
d
FINAL TEST 1 (Secondary School En rance Examination, 1965);
(1), 4709
(2) 8899 (5) 24
(11) 0-0
A fong chelt
(4): 80
The area of the parallelogram ABCD la 1 aquate
foot 21 square Inches Flad its perimeters
First of all, we have to find the area of cross-sectioni
Abes of two cross-pleoes
w Area of A and Area of a
(12 x 3 x 2) sq. in. m 72 89
Laren of the cormecting portion - Ares of B
(2x) @q. in. a Baq. in.
Therefore, volume of potion of
the girder of 1 ft. long-
- Area of Cross-section x Length
80 x 12 cu. in. - 960 cu. 14. But since 1 cu. in. of metal weighs 8 oz. Therefore, weight of the girder per foot-run
=960 x 8 08. ►
ANSWER.
The required weight of the firder per footer is 400 ID. EXAMPLE 7
What is the base area af. ■ vessel, of uniform cross
section of internal height 8 in. if its cap-.
acity is 4 cu. ft.
Binge I cu. ft. 1,728, en. zz
Therefore, the volume of the vessel
4 x 1,728 cu, ib. 61922 du.
So, the base area of the vessel
ANSWER:
2922- 8) sq. in.
base area of the vessel 13 864 sq. in.
same as the circumference of
I foot (π-22)
TO. Find the arse of the unshaded part
Aok nichons b
ALL Kempen the
425, semman zajli
(3): 1557
(12) 4
ཕྱི་སྦེ སུ གྱི རྒྱུ
(17). $3,89
144
(20) 14-0878
(21)
(22)
(23) 27.6%
(24) 140%
(25)
(26)
(27) 2
器 4.0
20 1.
24 What is the sro of square whose perimeter is the
(24) /
((37) $ 11-20 5
(40) H.K.
15-40
1-yl, 2 ft 10 fa (35) 5 days 9 h (38) 7 lbs 80% (41) 334, he
(33) g. 12 ng, im
(28) 0.60;
(43) 79
(49) 1:4. ft. 16 eg in
(82) 2ft.7 in.-
(66) 2.75 m.p.h
(68) 25 men
(61) 35-years (64) - $153"
7(67) 81-50
<70) 86-80 (73), 4 ft. 3 in -(78) 836
(79),575 mm (82) 324 p.ba
(86) $1.60 (83), 35-8
(44) $50 (47) 6%
(42) $206-25
(48) 225 yda
(48) 1 fang chele'86 Long cho (50)2 yd. 2 iq. ft. (41) 12 y (58) 60, long shak
(66) 23A)
(59) 12 samh
(62) 240 candidatți
/65) 86:30
(68) 8964
*(71) · Sas
(77): 195 cal fo (80) ft. 2 in (80) 3 m.p.b.
(80) 10 BEEN
(57) 4 hours
(53) 643-90 (28) 40 conca (69) $9.60
(a) và long cach (78):40.ag.yd. (78) 750 cubas.
(84) 20 min.
「九日由「辦事處」
規則學兵器,隨中國任李家計,梁 慕德中學開暑期班 時光及受不良份子影)包括新斯),勿团、中央大學前者》畫「好為誰該學校),目尚有游泳,而此, 從速示心: 嚴格,成前優良警
總設教師證道,穆好,好遠主任婚織,對
生可哀由參加,英文 晚講授;英文文機由正式上線外,也有绿 校葬生來校參加。因而青年获得及举报背 康樂活動亦呈活躍 行一九六七年度上學山飛財務主任,主,定八月十日假號啟 東行就職達。(豬)升中四,中五,中,除英交會話由史子量从取餘之生本必須 牌,並訂於八月二十層期,且前身心签烂 (韓氜)配發祺 良好。該校爲使其學 吨以上暑期班科目榕 由中山大學雌兔生食「民航路」,「天文館,觀淪爲止。此外, 定本月十四日舉行入筝試 是期服務生跟授,中大需生技的展位港府在部門者,3 百二十名,請儘速登 业盯於八月十四日志 午十時,在校重生果,漢強風,孙主席新玉 台,富威振、亶寶寶 加七三五號五月花沿 奇樂班,瓦該校下湖 仲巧區良教師生效,其倒置會考模礎,故心,「遷事處」等圈等,使學生上法利由 喜萬年遠東公司計劃 的三發生均轵城 大學生推在戴著明寶險 件遊船河,你要迎 李由美路史丹国大陆 聯合畫院王教授及中活動,現已於安会 名曾有做,共可招待,仍楙整招考新生, 該校爲但有
1 日有通话動及對本
參號 增加見識不少,
大量生產電視機 聖馬可學校學生昨集體前往
子要觀?
凡學校學生參 拙房有所認識。據工招待,帶雅间學到各,個時程環營證實一五三年成立,建
城由雷音廠 答安 各自
及西党爲散大主顧。作,不少共商站。
合之設立,做今部队,本作社区大 中和四主機 安神引目,符文 日本人口,安趙完心。談到外來投資,得治薦,同助發商 三五三五 - 樂清代含另作,對藍中間將資手大胜中云 工供籍及猛裂,限
·改二十人,昨日下 萬年聚東京发公司. 及工開辦聯合鸪者 名程以
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