Question

The linear expansivity of a cubic material is 0.000012 if the length of each sides of the cube is 10cm find the area of one face of the cube and the volume of the cube when its temperature is raised to 30k

Answer 1

Alpha=0.000012
Side=10
Areal expansion=0.000024
Volume expansion=0.000036
Area of one face=100(1+0.000024*30)
Area =100.072
Volume=1000(1+0.000036*30)
Volume=1001.08

Answer 2

Hence the volume of the cube is V = 1001.08 cm^3

Explanation:

Given data:

• Linear expansivity "α" =0.000012
• Side of cubic = 10 cm  
• Temperature "T" = 30 K

Areal expansion = 0.000024

Volume expansion = 0.000036

Area of one face = 100 (1 + 0.000024 x 30)

Area = 100.072  

Volume = 1000(1 + 0.000036 x 30)

Volume = 1001.08 cm^3

Hence the volume of the cube is Volume = 1001.08 cm^3