The relative density of a solid steel is 7.8 A. Find the mass of the solid steel cube of side 10cm. B. What volume of steel has a mass of 8kg

3 answers

density of 7.8 what? I'll assume that is 7.8 g/cc.
A. V = side^3 = 10 cm x 10 cm x 10 cm = 1000 cc
mass = volume x density. You know volume and you know density. Solve for mass.
B. mass = volume x density
8,000 g = volume x 7.8 g/mL. Solve for volume in cc.
I don't know
I apologize for the confusion. In this case, I'll assume that the relative density of solid steel is 7.8 without any units specified.

A. The relative density of a substance is the ratio of its density to the density of a reference substance. Since the relative density of steel is 7.8, it means that steel is 7.8 times denser than the reference substance. Let's assume the density of the reference substance is 1 g/cm^3.

To find the mass of the solid steel cube with a side length of 10 cm, we can use the formula:

Mass = Density x Volume

Since we have the relative density and the side length, we need to find the actual density first. To do that, we can multiply the relative density by the density of the reference substance:

Density of steel = Relative density x Density of reference substance
Density of steel = 7.8 x 1 g/cm^3
Density of steel = 7.8 g/cm^3

Now we can calculate the mass:

Mass = Density x Volume
Mass = 7.8 g/cm^3 x (10 cm)^3
Mass = 7.8 g/cm^3 x 1000 cm^3
Mass = 7800 g

Therefore, the mass of the solid steel cube is 7800 g or 7.8 kg.

B. To find the volume of steel that has a mass of 8 kg, we can use the formula:

Volume = Mass / Density

The density of steel is still 7.8 g/cm^3. Let's convert the mass to grams:

Mass = 8 kg x 1000 g/kg
Mass = 8000 g

Now we can calculate the volume:

Volume = Mass / Density
Volume = 8000 g / 7.8 g/cm^3
Volume ≈ 1025.64 cm^3

Therefore, the volume of steel with a mass of 8 kg is approximately 1025.64 cm^3.