Forum - Geometry

Total area and the volume of a cuboid

Santa
Visitor
2016-06-03 17:25:20
#1
ABCDA'B'C'D cuboid dimensions are AB = 12 cm, AD = 12√3cm and AA' = 6√6.
To find out:
a) total area
b) the volume
c) distance from D' to base diagonal AC

 

RE: Total area and the volume of a cuboid

Stefan Vilce
Visitor
2016-06-03 17:30:39
#2
We got this draw:
paralelipiped, cuboid

The exercise is simple. You can find out the surface and the volume only applying the formulas



Atot = Alateral + 2·Abase = 2(12 + 12√3)·6√6 + 2· 144√3 = 144√6 + 432√2 + 288√3



V = Abase·h = 144√3 ·6√6 = 2592√2 cm3



 
 

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