A copper cube of side length 20 cm is heated from 10 $\circ$ C to 90 $\circ$ C.What is the change the volume of the cube? The linear expansion coefficient of copper is 17 x 10^-6/ $\circ$ C. A)1.0 * 10^-5 m³ B)2.7 * 10^-5 m³ C)3.3 * 10^-5 m³ D)4.4 *10^-5 m³

Question

Quizplus · Accepted Answer

The change in volume of the cube is given by:$$\Delta V = V\beta\Delta T$$where:* V is the original volume of the cube* $\beta$ is the linear expansion coefficient of copper* $\Delta T$ is the change in temperatureSubstituting the given values into the equation, we get:$$\Delta V = (20 cm)^3(17 x 10^{-6}/\circ C)(90\circ C - 10\circ C) = 3.3 * 10^{-5} m^3$$Therefore, the correct answer is C) 3.3 * 10^-5 m³.

A Copper Cube of Side Length 20 Cm Is Heated ∘\circ∘

A Copper Cube of Side Length 20 Cm Is Heated $\circ$