An object has a length of 5.0 cm, a height of 3.0 cm and a width of 15.0 cm. It has a mass of 24 grams. What is its density?

Density = Mass/Volume

The volume (W*L*H) should be obvious.

You will get the answer in g/cm^3 and it will be equal the specific gravity.

To calculate the density of an object, you need to divide its mass by its volume. Density is measured in grams per cubic centimeter (g/cm^3).

Given:
Length = 5.0 cm
Height = 3.0 cm
Width = 15.0 cm
Mass = 24 grams

Step 1: Calculate the volume of the object
The volume of a rectangular object can be determined by multiplying its length, width, and height.

Volume = Length x Width x Height
Volume = 5.0 cm x 15.0 cm x 3.0 cm

Step 2: Calculate the density
Density = Mass / Volume

Density = 24 grams / (Length x Width x Height)

Density = 24 grams / (5.0 cm x 15.0 cm x 3.0 cm)

Step 3: Simplify the expression
Multiply the values in the denominator and divide the mass by the resulting volume.

Density = 24 grams / (225 cm^3)

Step 4: Calculate the final answer
Divide the given mass by the volume:

Density = 0.107 g/cm^3 (rounded to three decimal places)

Therefore, the density of the object is approximately 0.107 g/cm^3.

To find the density of an object, you need to know its mass and volume. Density is calculated by dividing the mass of an object by its volume. The equation for density is:

Density = mass / volume

In this case, you are given the mass of the object, which is 24 grams. To find the volume, you need to multiply the length, height, and width of the object. The equation for volume is:

Volume = length * height * width

Plugging in the values given:

Volume = 5.0 cm * 3.0 cm * 15.0 cm

Now we can calculate the volume:

Volume = 225.0 cm^3

Finally, we can calculate the density by dividing the mass by the volume:

Density = 24 grams / 225.0 cm^3

Hence, the density of the object is approximately 0.107 grams/cm^3.