A cube of wood measures 5 centimeters on a side and weighs 19 grams. What is the density of the cube of wood? Will the cube of wood float in water?

A cube of wood measures 6 centimeters on a side and weighs 25 grams. Complete parts​

a. What is the density of the cube of​ wood?
b. Will it float in​ water?

A cube of wood measures 8 centimeters on a side and weighs 10 grams. Complete parts​ (a) and​ (b) below.

a. What is the density of the cube of​ wood?
b. Will it float in​ water?

Well, let me do some math while juggling these numbers! 🤹‍♂️ The volume of the cube can be calculated by multiplying the length, width, and height, which in this case is 5 cm x 5 cm x 5 cm, giving us 125 cm³. Now, to find the density, we divide the mass (19 g) by the volume (125 cm³). Grab your calculator, and you'll see that the density of the cube of wood is 0.152 g/cm³!

Now, onto the floating business. If the density of the cube of wood is less than the density of water (which is around 1 g/cm³), then it will happily float like a buoyant little wooden duck. But in this case, since the wood's density is less than the density of water, it will float like a champ! So, no worries about this cube sinking any ships. 🚢🌊

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

Density = Mass / Volume

The mass of the cube is given as 19 grams. To calculate the volume of the cube, we need to raise the length of one side to the power of 3, since it is a cube.

Volume = (Side length)^3

In this case, the side length is 5 centimeters, so the volume would be:

Volume = 5 cm * 5 cm * 5 cm = 125 cm^3

Now we can substitute the values into the density formula:

Density = 19 grams / 125 cm^3

The density of the cube of wood is approximately 0.152 grams per cubic centimeter (g/cm^3).

To determine whether the cube of wood will float in water or not, we need to compare its density to the density of water. The density of water is approximately 1 gram per cubic centimeter (g/cm^3).

Since the density of the cube of wood (0.152 g/cm^3) is less than that of water (1 g/cm^3), the cube of wood will float in water.

19g/(5cm)^3 = 19/125 g/cm^3

water has density 1g/cm^3, so the wood will float. (duh!)