Question

the following two cubes are both made of iron (fe). the mass of each cube is shown. compare the thermal conductivity and density of each cube. a 10 grams b 20 grams the thermal conductivity of cube a is half that of cube b. the densities of cubes a and b are the same the thermal conductivity of a is the same as cube b, the density of cubes a is half that of cube b. the thermal conductivity and density of cube a is half of cube b. the thermal conductivity and density of cube a and cube b are the same.

Explanation:

Step1: Recall material - property concept

Thermal conductivity is an intrinsic property of a material. Since both cubes are made of iron, the thermal - conductivity of both cubes is the same as it depends only on the material type and not on the mass or size of the object.

Step2: Calculate density formula

Density $
ho=\frac{m}{V}$. Let's assume the side - length of cube A is $a$ and of cube B is $b$. If the mass of cube A, $m_A = 10$ g and mass of cube B, $m_B=20$ g. Since they are cubes of the same material, if we assume the volume of cube A is $V_A=a^3$ and volume of cube B is $V_B = b^3$. The density of cube A, $
ho_A=\frac{m_A}{V_A}$ and density of cube B, $
ho_B=\frac{m_B}{V_B}$. For the same material, if we assume the relationship between their volumes is such that the density is the same (because density is an intrinsic property for a homogeneous material under the same conditions). In fact, density of a homogeneous material does not change with mass or size. So the density of cube A and cube B is the same.

Answer:

The thermal conductivity and density of cube A and cube B are the same.