Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 4 hours to paint a wall with dimensions a and c. He takes 2 hours to paint a wall with dimensions b and c and 6 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? Choose the correct choice from the following choices
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 = 4 hours   BC = 2 hours   4.5 cubic metersB = 6 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 6 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 4 hours to paint a wall with dimensions a and c. He takes 2 hours to paint a wall with dimensions b and c and 6 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?