Question

Convert the volume, nm^3, to liters (L) by using the box dimensions of 4nm x 8.75nm x 10nm. Use the conversion factor of 1 L = 1 dm^3. Do not convert directly from nm^3 to dm^3

Answer 1

`V=3.50x10^(-22)L`

Step-by-step explanation:

Hello there!

In this case, given the dimensions of the box, we first compute the volume by multiplying each side:

`V=4nm*8.75nm*10nm=350nm^3`

Next, we apply the following conversion factor in order to obtain the corresponding liters:

`V=350nm^3*((1m)/(10^9nm) )^3*(1000L)/(1m^3) \\\\V=350nm^3*(1m^3)/(10^(27)nm^3) *(1000L)/(1m^3)\\\\V=3.50x10^(-22)L`

Best regards!