Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 8 hours to paint a wall with dimensions a and c. He takes 4 hours to paint a wall with dimensions b and c and 12 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 3, then what is the volume of the room?
Select the correct option:
A) 4.5 cubic meters B) 2.4 cubic meters C) 3.0 cubic meters D) 3.6 cubic meters E) It can’t be determined.
Time to paint each wall as given in problem:   4.5 cubic metersC = 8 hours   BC = 4 hours   4.5 cubic metersB = 12 hours   Since he works at constant rate and it takes him twice as long to paint 4.5 cubic metersC compared to BC   4.5 cubic metersC=2BC   Plug in 3 for 4.5 cubic meters and you find that B=1.5   Since painting 4.5 cubic metersB takes 3 times as long compared to BC,   4.5 cubic metersB=3BC   Plug in 6 for 4.5 cubic meters and 3 for B and you find that C=1   4.5 cubic meters*B*C=3*1.5*1= 
<gadget id="calculator">3*1.5*1</gadget>
<output>4.5</output>
4.5 cubic meters   4.5 cubic metersnswer: 4.5 cubic meters
<result>A</result>
Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 8 hours to paint a wall with dimensions a and c. He takes 4 hours to paint a wall with dimensions b and c and 12 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 3, then what is the volume of the room?