SOLUTION: Volume: A paper strip is 2 m long by 3 cm wide by 2 mm thick. What is it's volume? A) 1.2 x 10^1 mm^3 B) 1.2 x 10^-4 m^3 C) 1.2 x 10^4 mm^3 D) 1.2 x 10^1 cm^3

Algebra ->  Volume -> SOLUTION: Volume: A paper strip is 2 m long by 3 cm wide by 2 mm thick. What is it's volume? A) 1.2 x 10^1 mm^3 B) 1.2 x 10^-4 m^3 C) 1.2 x 10^4 mm^3 D) 1.2 x 10^1 cm^3      Log On


   

Question 899282: Volume: A paper strip is 2 m long by 3 cm wide by 2 mm thick. What is it's volume?
A) 1.2 x 10^1 mm^3
B) 1.2 x 10^-4 m^3
C) 1.2 x 10^4 mm^3
D) 1.2 x 10^1 cm^3
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
2%2A3%2A2%2Am%2Acm%2Amm, but you want to convert the result into each of cubic mm, cubic m, and cubic cm to check which answer choice is the correct one. Each of two or three units needs to be converted to put into each volume unit.

12%2Am%2Acm%2Amm%2A1000%28mm%2Fm%29%2A10%28mm%2Fcm%29=12%2A10%5E4%2Amm%5E3, just to start. Does this match any choice?

2%2A3%2A2%2Am%2Acm%2Amm%2A100%28cm%2Fm%29%2A%281%2F10%29%28cm%2Fmm%29=12%2A10%5E1%2Acm%5E3, and does this match any choice?

Neither of those match any choice. What about as meters?
12%2Am%2Acm%2Amm%2A%281%2F100%29%28m%2Fcm%29%281%2F1000%29%28m%2Fmm%29=12%2A10%5E-5%2Am%5E3, which does match choice B.