Question

1. Convert the following.A. What is 500.2 mm in meters?B. What is 6500 g in kilograms?C. What is 35000 ks in megaseconds?D. What is 21 in in meters? 1 in = 2.54 cmE. 42.195 km to meters. (1 km = 1000 m)F. The above to centimeters. (1 m = 100 cm)G. The above to inches. (2.54 cm = 1 in)H. What is 0.43 m in inches?I. What is 185 cm in feet? 1 ft = 12 inJ. Water has a density of 1000 kg/m3. If I have 50 m3of water, how much mass does the water contain?(Density = mass/volume)K. If I have 46 g of iron, which has a density of 7.874 g/cm3, how many cubic centimeters of iron do Ihave?L. What is your height in centimeters?M. *How many cubic meters are in a liter of water? 1 L = 1000 cm3.

Answer 1

a)
`500.2mm = 0.5002m`

b)
`6500g = 6.5kg`

c)
`35000 ks = 35 Ms`

d)
`21in = 0.5334m`

e)
`42.195km = 42195m`

f)
`42,195m = 4,219,500cm`

g)
`4,219,500cm = 1,661,220.47in`

h)
`0.43m = 16.93in`

i)
`185cm = 6.07ft`

j)
`m = 50000kg`

k)
`V = 5.842cm^(3)`

l)
`6ft = 174.96cm`

m)
`1L = 0.001m^(3)`

Explanation:

a) What is 500.2 mm in meters?

Each m has 1000mm. So:

1 m - 1000mm

x m - 500.2mm

`1000x = 500.2`

`x = (500.2)/(1000)`

`x = 0.5002`

So:

`500.2mm = 0.5002m`

B. What is 6500 g in kilograms?

Each kg has 1000g. So:

1 kg - 1000g

x kg - 6500g

`1000x = 6500`

`x = (6500)/(1000)`

`x = 6.50`

`6500g = 6.5kg`

C. What is 35000 ks in megaseconds?

Each megasecond has 1000ks. So

1 ks - 1000ks

x ks - 35000ks

`1000x = 35000`

`x = (35000)/(1000)`

`x = 35`

`35000 ks = 35 Ms`

D. What is 21 in in meters? 1 in = 2.54 cm

1 in - 2.54cm

21 in - xcm

`x = 21*2.54`

`x = 53.34cm`

Each m has 100cm. So

1m - 100cm

xm - 53.34cm

`100x = 53.34`

`x = (53.34)/(100)`

`x = 0.5334`

`21in = 0.5334m`

E. 42.195 km to meters. (1 km = 1000 m)

Each km has 1000m. So:

1km - 1000m

42.195km - xm

`x = 42.195*1000`

`x = 42195m`

`42.195km = 42195m`

F. The above to centimeters. (1 m = 100 cm)

Each m has 100cm. So

1m - 100cm

42195m - xcm

`x = 100*42195`

`x = 4,219,500`

`42,195m = 4,219,500cm`

G. The above to inches. (2.54 cm = 1 in)

1 in - 2.54cm

x in - 4219500cm

`2.54x = 4219500`

`x = (4219500)/(2.54)`

`x = 1,661,220.47[/texx]</p><p>[tex]4,219,500cm = 1,661,220.47in`

H. What is 0.43 m in inches?

Each m has 100cm, so
`0.43m = 43cm`

1 in - 2.54cm

x in - 43cm

`2.54x = 43`

`x = (43)/(2.54)`

`x = 16.93in`

`0.43m = 16.93in`

I. What is 185 cm in feet? 1 ft = 12 in

Each inch has 2.54cm

1 in - 2.54 cm

x in - 185 cm

`2.54x = 185`

`x = (185)/(2.54)`

`x = 72.83in`

1 ft - 12 in

x ft - 72.83 in

`12x = 72.83`

`x = (72.83)/(12)`

`x = 6.07ft`

`185cm = 6.07ft`

J. Water has a density of 1000 kg/m3. If I have 50 m3of water, how much mass does the water contain?(Density = mass/volume)

`D = (m)/(v)`

`1000 = (m)/(50)`

`m = 50000kg`

K. If I have 46 g of iron, which has a density of 7.874 g/cm3, how many cubic centimeters of iron do I have?

`D = (m)/(v)`

`7.874 = (46)/(V)`

`V = (46)/(7.874)`

`V = 5.842cm^(3)`

L. What is your height in centimeters?

I'm 6 feet = 72 in

1 in - 2.43cm

72 in - x cm

`x = 72*2.43`

`x = 174.96cm`

M. *How many cubic meters are in a liter of water?

`1m^(3) = 1000000cm^(3)`

`xm^(3) = 1000cm^(3)</p><p>[tex]1000000x = 1000`

`x = (1000)/(1000000)`

`x = 0.001m^(3)`

`1L = 0.001m^(3)`