The length of a side of a metallic cube at 20°C is 5.0cm. Given that the linear expansivity of the metal is 4.0 x 10-5k-1, find the volume of the cube at 120°C .

A.

126.50cm3

B.

126.25cm3

C.

126.00cm3

D.

125.00cm3

Correct answer is A

Recall that: Volume = L * L * L → 5 * 5 * 5 = 125

Y = \(\frac{V_2 - V_1}{V_1 \times \theta}\)

3 x 4 x 10-5 = \(\frac{V_2 - 125}{125 \times (120 - 20)}\)

V2 = 126.50cm3