High School

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A cube measures 2.5 cm on each edge and has a mass of 66.9 g.

a) Calculate the density of the cube.

b) Determine the volume of the cube.

Answer :

Final answer:

Calculate the density and volume of a cube with specific measurements. Learn how to apply the formulas for density and volume of a cube. Option b is correct.

Explanation:

To calculate the density of the cube, we utilize the formula: density equals mass divided by volume. Given the mass of the cube is 66.9 grams, we need to find its volume. For a cube, volume is determined by the formula: edge length cubed.

Since the cube has an edge length of 2.5 centimeters, its volume is 15.625 cubic centimeters. Substituting this volume into the density formula, we find the density to be approximately 4.2816 grams per cubic centimeter.

As for the volume of the cube, it's already been determined to be 15.625 cubic centimeters based on the edge length provided. Therefore, the density of the cube is approximately 4.2816 grams per cubic centimeter, and its volume is 15.625 cubic centimeters.

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