Question

A cobra releases 370 mm^3 of venom when it bites. How many cL of venom does a cobra release?

Answer 1

The cobra releases 0.0370 cL of venom.

Explanation:

Let's do this in steps, using conversion factors we know.

1. Convert cubic millimetres to cubic metres.

`370 color(red)(cancel(color(black)("mm"^3))) × ("1 m"/(1000 color(red)(cancel(color(black)("mm")))))^3 = 3.70 × 10^"-7"color(white)(l) "m"^3`

2. Convert cubic metres to litres.

`3.70 × 10^"-7" color(red)(cancel(color(black)(color(red)(cancel(color(black)("m"^3)))))) × "1000 L"/(1 color(red)(cancel(color(black)("m"^3)))) = 3.70 × 10^"-4"color(white)(l) "L"`

3. Convert litres to centilitres.

`3.70 × 10^"-4" color(red)(cancel(color(black)("L"))) × "100 cL"/(1 color(red)(cancel(color(black)("L")))) = 0.0370color(white)(l) "cL"`