In the rectangular solid , the three sides shown have areas 12, 15, and 20,respectively. What is the volume of the solid?
A. 60
B. 120
C. 450
D. 1,800
E. 3,600
Solution :
ab = 12
bc = 15
ac = 20
a=12/b
c=15/b
ac =20
(12*15)/b^2 = 20
20b^2=180
b=3 a=4 c=5
Volume = 3 * 4 * 5 = = 60
hence the answer is A