Question

The linear expansivity of the material is 12 * 10 raise to power - 6 per Kelvin if the length of each side of the cube is 10 cm find the area of one face of the cube and the volume of the cube when the temperature is raised by 30 Kelvin

Answer 1

Answer:

When temperature is raised by 30 K then area of one face is  100.072 square cm and volume of cube is 1001.08 cube.

Explanation:

As we know that as we increase the temperature of the cube its linear dimension will increase as

$L = L_o(1 + \alpha \Delta T)$

so we will have

$L_o = 10 cm$

$\alpha = 12 \times 10^{-6} /K$

$\Delta T = 30 K$

Now we will have

$L = 10(1 + (12 \times 10^{-6})30)$

$L = 10.0036 cm$

Now are of one face of the cube is given as

$A = L^2$

$A = (10.0036)^2$

$A = 100.072 cm^2$

Volume of the cube is

$V = L^3$

$V = (10.0036)^3$

$V = 1001.08 cm^3$

#Learn

Topic : Thermal expansion

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