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To study fluctuations in leaf water potential, samples of wood were taken from 26 trees and cut in the shape of a cube. The length of the edge of one of these cubes is 2.00 centimeters. If this cube has a mass of 3.68 grams, what is the density of this cube, in grams per cubic centimeter?

Question

To study fluctuations in leaf water potential, samples of wood were taken from 26 trees and cut in the shape of a cube. The length of the edge of one of these cubes is 2.00 centimeters. If this cube has a mass of 3.68 grams, what is the density of this cube, in grams per cubic centimeter?

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Solution

To find the density of the cube, we need to divide the mass of the cube by its volume.

Step 1: Find the volume of the cube. The volume of a cube is calculated by cubing the length of one of its edges. In this case, the edge length is 2.00 cm. So, the volume is (2.00 cm)^3 = 8.00 cubic centimeters.

Step 2: Divide the mass of the cube by its volume to find the density. The mass of the cube is 3.68 grams. So, the density is 3.68 grams / 8.00 cubic centimeters = 0.46 grams per cubic centimeter.

So, the density of the cube is 0.46 grams per cubic centimeter.

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