If a rectangular solid has a mass of 59.345 g and measures 10.05 cm by 5.20 cm by 1.25 cm, what is the density of the solid?
volume = length x width x height = ? cc
Then density = mass/volume = ?
To find the density of the rectangular solid, we first need to calculate its volume. The formula for volume of a rectangular solid is:
Volume = Length x Width x Height
Given that the dimensions are as follows:
Length = 10.05 cm
Width = 5.20 cm
Height = 1.25 cm
Let's substitute the values into the formula:
Volume = 10.05 cm x 5.20 cm x 1.25 cm
Volume = 65.33 cm^3
The next step is to calculate the density. Density is calculated by dividing mass by volume. Therefore, the formula for density is:
Density = Mass / Volume
Given that the mass is 59.345 g and the volume is 65.33 cm^3, let's substitute the values into the formula:
Density = 59.345 g / 65.33 cm^3
Calculating the density:
Density = 0.906 g/cm^3
Therefore, the density of the rectangular solid is approximately 0.906 g/cm^3.
To determine the density of the solid, you need to use the formula:
Density = Mass / Volume
First, let's find the volume of the rectangular solid:
Volume = Length x Width x Height
Given that the length is 10.05 cm, the width is 5.20 cm, and the height is 1.25 cm, we can substitute these values into the formula:
Volume = 10.05 cm x 5.20 cm x 1.25 cm
Multiply these values together to find the volume.
Volume = 65.55 cm³
Now, substitute the given mass of 59.345 g and the volume of 65.55 cm³ into the density formula:
Density = 59.345 g / 65.55 cm³
Calculate the division to find the density:
Density ≈ 0.904 g/cm³
So, the density of the rectangular solid is approximately 0.904 g/cm³.