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

Answer:

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) $1L = 0.001m^{3}$

Step-by-step explanation:

a) What is 500.2 mm in meters?

Each m has 1000mm. So:

1 m - 1000mm

x m - 500.2mm

$1000x = 500.2$

$x = \frac{500.2}{1000}$

$x = 0.5002$

So:

$500.2mm = 0.5002m$

B. What is 6500 g in kilograms?

Each kg has 1000g. So:

1 kg - 1000g

x kg - 6500g

$1000x = 6500$

$x = \frac{6500}{1000}$

$x = 6.50$

$6500g = 6.5kg$

C. What is 35000 ks in megaseconds?

Each megasecond has 1000ks. So

1 ks - 1000ks

x ks - 35000ks

$1000x = 35000$

$x = \frac{35000}{1000}$

$x = 35$

$35000 ks = 35 Ms$

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

$100x = 53.34$

$x = \frac{53.34}{100}$

$x = 0.5334$

$21in = 0.5334m$

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

$2.54x = 4219500$

$x = \frac{4219500}{2.54}$

$x = 1,661,220.47[/texx]

[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

$2.54x = 43$

$x = \frac{43}{2.54}$

$x = 16.93in$

$0.43m = 16.93in$

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

$2.54x = 185$

$x = \frac{185}{2.54}$

$x = 72.83in$

1 ft - 12 in

x ft - 72.83 in

$12x = 72.83$

$x = \frac{72.83}{12}$

$x = 6.07ft$

$185cm = 6.07ft$

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)

$D = \frac{m}{v}$

$1000 = \frac{m}{50}$

$m = 50000kg$

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?

$D = \frac{m}{v}$

$7.874 = \frac{46}{V}$

$V = \frac{46}{7.874}$

$V = 5.842cm^{3}$

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}

[tex]1000000x = 1000$

$x = \frac{1000}{1000000}$

$x = 0.001m^{3}$

$1L = 0.001m^{3}$