High School

A cube measures 2.5 cm on each edge and has a mass of 66.9 g. Calculate the density of the material that composes the cube. (Volume of a cube is equal to the edge length cubed.)

A. 10.7 g/cm³
B. 4.3 g/cm³
C. 0.234 g/cm³
D. 26.7 g/cm³

Answer :

Final answer:

The density of the cube is found by dividing its mass (66.9 g) by its volume (15.625 cm³), which gives a density of 4.3 g/cm³.

Explanation:

To calculate the density of the cube, we first determine its volume. Since the edge of the cube is 2.5 cm, we use the formula for the volume of a cube, which is the edge length cubed (V = s³). Therefore, the volume is 2.5 cm x 2.5 cm x 2.5 cm = 15.625 cm³. Next, we divide the mass of the cube (66.9 g) by its volume (15.625 cm³) to find its density. The density is therefore 66.9 g / 15.625 cm³ = 4.3 g/cm³.

The correct answer is B) 4.3 g/cm³.