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 = 12, then what is the volume of the room?	Choose the correct choice from the following.
A) 218 cubic meters
B) 224 cubic meters
C) 230 cubic meters
D) 288 cubic meters
E) It can’t be determined.
Time to paint each wall as given in problem:   AC = 8 hours   BC = 4 hours   AB = 12 hours   Since he works at constant rate and it takes him twice as long to paint AC compared to BC   AC=2BC   Plug in 6 for A and you find that B=6   Since painting AB takes 3 times as long compared to BC,   AB=3BC   Plug in 6 for A and 3 for B and you find that C=4   A*B*C=12*6*4= 
<gadget id="calculator">12*6*4</gadget>
<output>288</output>
288 cubic meters   Answer: 288 cubic meters
<result>D</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 = 12, then what is the volume of the room?