Chapter 13 Volume of prisms

Chapter 16 Formulae
Exercise 16.1
1. (a) –7 (b) –2 (c) 18
(d) 1 (e) 4
2. (a) 11__
2
(d) 6
3.
(b) 21__
4
(e) 71__
2
(c) 3
3__
4
Side length a Side length b Side length c
3 cm 4 cm 5 cm
12 cm 16 cm 20 cm
6 mm 8 mm 10 mm
1 m 2 m 2.236 m
4. (a) 10 cm (b) 13.9 cm
(c) 20 cm
(d) 29.2 cm
5. (a) 10.83 cm² (b) 62.35 mm²
(c) 27.71 m²
(d) 18.29 cm²
6. 10 cm 7. P1 450
8. (a) P16.80 (b) P17.80
(c) P19.80 (d) P22.80
9. √ ____
200 cm 2 = 14.14 cm 2
Exercise 16.2
1. (a) (iii) (b) (iii) (c) (i)
2. (a) y = z – x (b) d = st
(c) t = ____ y + h
r (d) t = s
(e) p = ____ c + q
5
3. (a) b = ____ t – 5
3
(c) d = w – 1 _____
7
(e) x =
12y – 4u ______
m
______
6(1 + r)
(f) b = √ ______
c² – a²
(b) d = __ g 6
(d) c = f – 1__
____ 2
12
Or c = _____ 2f – 1
24
(f) s =
3
√ _____
x + 7
___
4. (a) r = √
__ A
πh
(b) radius = 3 cm; diameter = 6 cm
5. (a) m = __ W g
(b) g = __ W m
__
6. a = √
__ A
6
= 0.75 m
7. x = ( y __
2 ) 2 + 8 or x =
8. r = D – 6a ______
(2π + 3)
y² + 32
______
4
_____
9. (a) c = √
____ a + b
T
(b) 6
10. (a) y = –5 + 2x (b) y = –5 + q + p
(c) y = 9 – x
(d) y = __ p 2
(e) y = ______ –15 + x (f) y = _____ x + 11
6
13
(g) y = ___ 3xa
(h) y = __ 2b
5b
7a
(i) y = ___ 5a²c
(j) y = __ 2a
3b
rt
Exercise 16.3
1. (a) h = ____ Y
(b) Hourly rate: P23.60
2080
2. (a) d = F – P2.50 ________
2
(b) 14 km
3. (a) 150 ug (b) m = A – 30 _____
8
(c) 21.25 kg
4. (a) 38 white onions
(c) 6 red onions
(b) r = _____ w – 2
3
5. (a) n = ___ C
0.3
(b) 600 gallons
6. (a)
Polygon Square Pentagon
Hexagon
Heptagon
Octagon
Sides (n) 4 5 6 7 8
Diagonals (d) 2 5 9 14 20
(b) 170
7. (a) P4 000 (b) P = __
rt
I (c) r = __ I
Pt
(d) t = __ I (e) 3 years
Pr
8. (a) 22 pieces (b) f = ______ 50 – O
2
(c) 16 players
9. 90 km
Revision exercise
1. (a) –1 (b) 4 (c) 0
(d) 3.94 (2 d.p.)
2. (a) b = √ ______
c² – a² (b) 4 cm
(c) a = √ ______
c² – b² (d) 36 m
3. (a) 39 (b) 48 (c) 4
4. (a) a = 2 – b (b) a = ____ 7 + b
(c) a = 7 – 3b
2
(d) a = ____ 2 – b
6
3
√ __
___ b
5
(e) a = (b – 5) ² (f) a =
5. (a) h = n + 3 _____
2
(b) (i) 30 (ii) 168 (iii) 51
70