Basic Engineering Mathematics, Fifth Edition

Answerstopracticeexercises 351

Chapter 25

Exercise 96 (page 221)

1.p= 105 ◦,q= 35 ◦ 2.r= 142 ◦,s= 95 ◦
3.t= 146 ◦

Exercise 97 (page 225)

1.(i) rhombus (a) 14cm^2 (b) 16cm (ii) parallelogram

(a) 180mm^2 (b) 80mm (iii) rectangle (a) 3600mm^2

(b) 300mm (iv) trapezium (a) 190cm^2 (b) 62.91cm

2. 35 .7cm^2 3.(a) 80m (b) 170m 4. 27 .2cm^2
   5.18cm 6.1200mm
   7.(a) 29cm^2 (b) 650mm^2 8.560m^2


3. 3 .4cm 10.6750mm^2 11. 43 .30cm^2


4. 32

Exercise 98 (page 226)

1.482m^2
2.(a) 50.27cm^2 (b) 706.9mm^2 (c) 3183mm^2
3.2513mm^2 4.(a) 20.19mm (b) 63.41mm
5.(a) 53.01cm^2 (b) 129.9mm^2 6.5773mm^2

7. 1 .89m^2

Exercise 99 (page 228)

1.1932mm^2 2.1624mm^2 3.(a) 0.918ha (b) 456m

Exercise 100 (page 229)

1.80ha 2.80m^2 3. 3 .14ha

Chapter 26

Exercise 101 (page 231)

1. 45 .24cm2. 259 .5mm3. 2 .629cm 4. 47 .68cm


2. 38 .73cm6. 12730km7. 97 .13mm

Exercise 102 (page 232)

1.(a)
π
6

(b)

5 π

12

(c)
5 π
4
2.(a) 0.838 (b) 1.481 (c) 4.054
3.(a) 210◦(b) 80◦(c) 105◦
4.(a) 0◦ 43 ′(b) 154◦ 8 ′(c) 414◦ 53 ′

Exercise 103 (page 234)

1.113cm^2 2.2376mm^2 3.1790mm^2

4.802mm^2 5.1709mm^2 6.1269m^2

7.1548m^2 8.(a) 106.0cm (b) 783.9cm^2

9. 21 .46m^2 10. 17 .80cm, 74 .07cm^2
   11.(a) 59.86mm (b) 197.8mm 12. 26 .2cm


10. 8 .67cm, 54 .48cm 14. 82. 5 ◦ 15. 748
    16.(a) 0.698rad (b) 804.2m^2 17. 10 .47m^2
    18.(a) 396mm^2 (b) 42.24% 19. 701 .8mm


11. 7 .74mm

Exercise 104 (page 237)

1. (a) 2 (b)( 3 ,− 4 ) 2.Centre at( 3 ,− 2 ),radius 4


2. Circle, centre (0, 1), radius 5


3. Circle, centre (0, 0), radius 6

Chapter 27

Exercise 105 (page 243)

1. 1 .2m^3 2.5cm^3 3.8cm^3


2. (a) 3840mm^3 (b) 1792mm^2


3. 972litres 6.15cm^3 ,135g 7.500litres


4. 1 .44m^3 9. (a) 35.3cm^3 (b) 61.3cm^2


5. (a) 2400cm^3 (b) 2460cm^2 11. 37 .04m


6. 1 .63cm 13. 8796cm^3


7. 4 .709cm, 153 .9cm^2


8. 2 .99cm 16.28060cm^3 , 1 .099m^2


9. 8 .22m by 8.22m 18. 62 .5min


10. 4cm 20. 4 .08m^3

Exercise 106 (page 246)

1. 201 .1cm^3 , 159 .0cm^2 2. 7 .68cm^3 , 25 .81cm^2


2. 113 .1cm^3 , 113 .1cm^2 4. 5 .131cm 5.3cm
   6.2681mm^3 7.(a) 268083mm^3 or 268.083cm^3
   (b) 20106mm^2 or 201.06cm^2


3. 8 .53cm
   9.(a) 512× 106 km^2 (b) 1. 09 × 1012 km^3 10. 664

Exercise 107 (page 251)

1. 5890mm^2 or 58.90cm^2


2. (a) 56.55cm^3 (b) 84.82cm^2 3. 13 .57kg


3. 29 .32cm^3 5. 393 .4m^2


4. (i) (a) 670 cm^3 (b) 523cm^2 (ii) (a) 180cm^3
   (b) 154cm^2 (iii) (a) 56.5cm^3 (b) 84.8cm^2
   (iv) (a) 10.4cm^3 (b) 32.0cm^2 (v) (a) 96.0cm^3