A living room is 1,400 cubic meters. If there are 3.6 x 10' particles of dust per cubic meter, how many
particles of dust are there in the living room?
A) 5.04 x 102 particles
B) 5.46 x 1012 particles
C) 6.04 x 1013 particles
D) 6.44 x 1013 particles

Respuesta :

Answer: 5.04x[tex]10^{4}[/tex] particles

in your situation is choose : A

Step-by-step explanation:

the volume of the living room is 1,400[tex]m^{3}[/tex], and there are 3.6 x [tex]10^{1}[/tex] particles of dust / [tex]m^{3}[/tex]

 

we will convert the room volume to scientific notation = 1.4 x [tex]10^{3}[/tex][tex]m^{3}[/tex]

 

then, the total number of particles will be the product of the two numbers, which is 1.4 x [tex]10^{3}[/tex][tex]m^{3}[/tex] times 3.6 x [tex]10^{1}[/tex] particles/[tex]m^{3}[/tex] = 5.04x[tex]10^{4}[/tex] particles