A 1.75 gram perfect cube of wood has a side measure of 2.45 cm, what is the density of the wood?

density=mass/volume=1.75g/(2.45^3)cm^3

0.12

To find the density of the wood, we need to use the formula:

Density = Mass / Volume

Given:
Mass of cube = 1.75 grams
Side measure of cube = 2.45 cm

First, let's calculate the volume of the cube. Since it is a perfect cube, all sides have the same measurement. The formula for the volume of a cube is:

Volume = (Side length)^3

Using the given side length of 2.45 cm:

Volume = (2.45 cm)^3
Volume = 2.45 cm * 2.45 cm * 2.45 cm
Volume = 15.087125 cm^3

Now, we can plug the values into the formula to find the density:

Density = Mass / Volume
Density = 1.75 grams / 15.087125 cm^3

Calculating the density:

Density = 0.11598 grams/cm^3

Therefore, the density of the wood is approximately 0.11598 grams/cm^3.

To calculate the density of an object, you need to know its mass and volume. In this case, you are given the mass of the wood cube, which is 1.75 grams.

To find the volume of the cube, you need to know the length of its sides. The problem states that the cube has a side measure of 2.45 cm. Since it is a perfect cube, all sides have the same length.

To calculate the volume of the cube, you can use the formula: volume = side length^3.

Substituting the given value, you have: volume = 2.45 cm * 2.45 cm * 2.45 cm.

Now you can calculate the volume of the cube.

Once you have both the mass and volume, you can use the formula for density: density = mass / volume.

By substituting the given values, you can calculate the density of the wood.