The relative density of steel is 7.8 find the mass of a solid steel cube of sides 10cm. What volume of the steel has a 8kg
mass?
To find the mass of the steel cube, we need to use its volume and density. The formula for the volume of a cube is V = s^3, where s is the length of one side. So, for this cube, V = 10^3 = 1000 cm^3.
The formula for density is density = mass/volume. If we rearrange this formula, we get mass = density x volume. Plugging in the values for density and volume, we get:
mass = 7.8 x 1000 = 7800 g or 7.8 kg (rounded to one decimal place)
For the second part of the question, we need to find the volume of the steel that has a mass of 8 kg. Rearranging the formula for density, we get volume = mass/density. Plugging in the values, we get:
volume = 8/7.8 = 1.03 m^3 (rounded to two decimal places)
To find the mass of a solid steel cube with sides of 10 cm, we need to use the formula:
Mass = Relative Density * Volume
Given that the relative density of steel is 7.8, we can substitute this value into the formula.
First, let's calculate the volume of the cube:
Volume = Side^3
= (10 cm)^3
= 1000 cm^3
Now, let's calculate the mass of the steel cube:
Mass = Relative Density * Volume
= 7.8 * 1000 cm^3
= 7800 g
Therefore, the mass of the solid steel cube is 7800 grams.
To find the volume of steel with a mass of 8 kg, we'll use the formula:
Volume = Mass / Relative Density
First, we need to convert the mass from kilograms to grams:
8 kg = 8,000 grams
Now, let's calculate the volume:
Volume = Mass / Relative Density
= 8,000 g / 7.8
≈ 1,025.64 cm^3
Therefore, the volume of steel with a mass of 8 kg is approximately 1,025.64 cm^3.