Question

Question #f93d9

Answer 1

That's a gigantic cell!! :O :D
a) `2.56 xx 10^27 "mm"^3` volume
b) `2.56 xx 10^26L`

Explanation:

These are just unit conversions.
`1m^3 = 1 xx 10^9 mm^3`
`1Mm = 1 xx 10^6m`, so `1Mm^3 = 1 xx 10^18m`
`1m^3 = 1000L`

`2.56 Mm^3 xx 10^18m^3/"Mm"^3 xx 10^9"mm"^3/m^3 =`

`2.56 xx 10^27 "mm"^3`

`2.56 Mm^3 xx 10^18m^3/"Mm"^3 xx 1 xx 10^3m^3/L xx 10^5 "cells" =`

`2.56 xx 10^26L`

Answer 2

(a) `2.56xx10^-9 mm^3`
(b) `2.56xx10^-10 L`

Explanation:

Megameter means a million(`10^6`) meters, or `1000` kilometers. It would be too large to express the size of a bacterial cell.

The following answer is under the assumption that the volume is `2.56` cubic `color(red)"micrometers"`. If you really want the volume of a gigantic bacterial cell, see SCooke's post.

"Micro" means one-millionth(`10^-6`).
`1 μm=10^-6 m`
`1 μm^3 =(10^-6)^3 m^3= 10^-18 m^3`

The volume of the bacterial cell is `2.56xx10^-18 m^3`.

(a) `1 mm^3 = (10^-3)^3 m^3 =10^-9 m^3`
`2.56*10^-18 m^3 = (2.56xx10^-18)/(10^-9) mm^3 = 2.56xx10^-9 mm^3`.

(b) The volume of `10^5` cell is `2.56xx10^-18 *10^5=2.56xx10^-13 m^3`.
As `1` liter is `10^-3` cubic meters, the volume is
`(2.56xx10^-13)/(10^-3) L=2.56xx10^-10 L`.