Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd...
Transcript of Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd...
![Page 1: Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd multiply by the conversion fraction (units you want.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649ec75503460f94bd434d/html5/thumbnails/1.jpg)
Examples1. Convert 24 yards to feet. 2. Convert 5 yd 6 in to inches.Start with what you know:
24 yd
multiply by the conversion fraction (units you want on the top)
3 ft1 ydx = 72 ft
Start with what you know:
5 yd
multiply by the conversion fraction (units you want on the top)
36 in1 ydx = 180 in
5 yd 6 in= 180 + 6 in= 186 in
![Page 2: Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd multiply by the conversion fraction (units you want.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649ec75503460f94bd434d/html5/thumbnails/2.jpg)
Examples3. Quentin is 5 ft. 1 in. tall. What is his height to the nearest centimetre?Start with what you know:
5 ft
multiply by the conversion fraction (units you want on the top)
12 in1 ftx = 60 in
60 + 1 in = 61 in.
61 in2.54 cm
1 inx = 154.94 cm
Quentin is 155 cm tall
4. An indoor lacrosse goal is 4 ft. high. What is this measurement to the nearest tenth of a metre?Start with what you know:
4 ft
multiply by the conversion fraction (units you want on the top)
0.3048 m
1 ftx = 1.2192 mThe goal is 1.2 m high
![Page 3: Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd multiply by the conversion fraction (units you want.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649ec75503460f94bd434d/html5/thumbnails/3.jpg)
4. A map of Alberta has a scale of 1: 1 505 000. The distance on the
map between Calgary and Red Deer is inches.
What is the distance to the nearest mile?
134
3 1 ft12 in
(1505000 in) x
= 77.19775884 mi
The distance between Calgary and Red Deer is approximately 77 miles.
14
1 mi5280 ft
x
a b/c or
![Page 4: Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd multiply by the conversion fraction (units you want.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649ec75503460f94bd434d/html5/thumbnails/4.jpg)
The top scale gives the whole number: (where the zero on
the bottom scale points)
19 mm
To get the decimal portion of the measurement find the
first set of lines that match up
.5
![Page 5: Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd multiply by the conversion fraction (units you want.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649ec75503460f94bd434d/html5/thumbnails/5.jpg)
7. Determine the surface area of this right rectangular pyramid to the nearest square inch.
(length)(width)
= 24 in2
Need to find slant height (s)
A Base = = (3)(8)
a2 + b2 = c2
SA = 24 + 2(14.775) + 2(36.48)
A Sides = 42 + 92 = s2
16 + 81 = s2
97 = s2
√97 = s9.85 in = s
bh2
(3)(9.85)2=
= 14.775 in2 Blue
a2 + b2 = c2
A Front/Back = 1.52 + 92 = s2
2.25 + 81 = s2
83.25 = s2
√83.25 = s9.12 in= s
bh2
(8)(9.12)2=
= 36.48 in2 Red
= 126.51 in2 = 127 in2
3 in. 8 in.
9 in.
![Page 6: Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd multiply by the conversion fraction (units you want.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649ec75503460f94bd434d/html5/thumbnails/6.jpg)
8. Determine the surface area of this right cone to the nearest square metre.
Need to find slant height (s)
SA = 83 m2
SACone = πr2 + πrs
= π(3)2 + π(3)(5.83)
a2 + b2 = c2
32 + 52 = s2
9 + 25 = s2
34 = s2
√34= s5.83 m = s = 9π + 17.49π
= 26.49π= 83.221
3 m
5 m
![Page 7: Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd multiply by the conversion fraction (units you want.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649ec75503460f94bd434d/html5/thumbnails/7.jpg)
9. The surface area of a right cone is 400.2 m2. The radius of the cone is 6.0 m. Determine the height of the cone to the nearest metre.
h = 14 m
-36π -36π
a2 + b2 = c2
r2 + h2 = s2
36 + h2 = 231.98
h2 = 195.98h = √195.98h = 13.999 m
400.2 - 36π = 6πs
15.231 = s
6π 6π62 + h2 = 15.2312
SACone = πr2 + πrs400.2 = π(6)2 + π(6)s400.2 = 36 π + 6πs
287.1026645 = s6π
![Page 8: Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd multiply by the conversion fraction (units you want.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649ec75503460f94bd434d/html5/thumbnails/8.jpg)
10. A hemisphere has radius 11.6 cm. What is the surface area of the hemisphere to the nearest tenth of a square centimeter?
SASphere = 4 2r
SAHemi = 2 2r 2r+
2r= 32)6.11(= 3
= 1268.2 cm2
![Page 9: Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd multiply by the conversion fraction (units you want.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649ec75503460f94bd434d/html5/thumbnails/9.jpg)
11. Determine the volume of this composite object, which is a right square prism and a right rectangular pyramid, to the nearest tenth of a cubic metre.
VTOP = (area of base)(height)31
= (3.3)(6.8)(1.5)31
= 11.22
VBOTTOM = L x W x H= (3.3)(6.8)(3.3)= 74.052
VTOTAL = 11.22 + 74.052 = 85.272VTOTAL = 85.3 m3
|
1.5
6.83.3
3.3
m
mm
m
![Page 10: Examples 1. Convert 24 yards to feet.2. Convert 5 yd 6 in to inches. Start with what you know: 24 yd multiply by the conversion fraction (units you want.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649ec75503460f94bd434d/html5/thumbnails/10.jpg)
12. A pail of ice cream is cylindrical, with diameter 10 in. and height 12 in. A scoop makes a sphere of ice cream with diameter 2 in. How many full scoops of ice cream can be made from this pail?
VCYLINDER = (area of base)(height)= r2h= (5)2(12) VSPHERE = r3
= (1)3
= How many scoops of ice cream can be made?
= 225
225 full scoops
= 30034
34
34