SCORETOP 31 GEMOETRY

[payam]

[img]

In the rectangular solid above, 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
Answer:

[/img]

[givemeanid]

Let 3 sides be a,b and c

ab = 12, bc = 15, ac=20
Multiply all of the above: (abc)^2 = 12*15*20 = 3*4 * 3*5 * 4*5
Volume = abc = sqrt(3*4 * 3*5 * 4*5) = 3*4*5 = 60