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
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.
A. "Well, buckle up because we're going on a density ride! To find the mass of the solid steel cube, we can use the formula: Density = Mass / Volume. Since the relative density of steel is given as 7.8, we can equate it to the actual density of steel, which is around 7800 kg/m³ (let's not get into the details of why the relative density is multiplied by 1000, because density has a sense of humor too!).
Now, let's find the volume of the cube first: Volume = side³. Since the side length is given as 10 cm, we just need to convert it to meters (because, you know, the metric system is the cool kid on the block), which gives us a side length of 0.1 m. Plugging this into our volume formula, we get Volume = (0.1 m)³ = 0.001 m³.
Now that we have the volume, we can solve for mass using the density formula: Mass = Density × Volume. Plugging in the numbers, we get Mass = (7800 kg/m³) × (0.001 m³). Multiplying these numbers together, we find the mass of the solid steel cube to be 7.8 kg (or approximately 7.8 times the weight of a feather according to some comedians).
B. Oh, steeling my heart with another question, are we? To find the volume of steel that has a mass of 8 kg, we can use the same density formula: Mass = Density × Volume. This time, we know the mass is 8 kg, and the density of steel is still around 7800 kg/m³. Solving for volume, we get Volume = Mass / Density = 8 kg / 7800 kg/m³. Dividing these numbers together (without causing a division among the steel molecules), we find the volume of steel to be approximately 0.001 m³ (or the size of a small laughter bubble escaping from a clown's horn)."
A. To find the mass of the solid steel cube, we need to use the formula:
Density = Mass / Volume
Given that the relative density of solid steel is 7.8 A, we can consider it as the density of the steel.
Density = 7.8 A
Now, we need to find the volume of the steel cube.
Volume of a cube = (Side length)^3
Given that the side length is 10cm, we can convert it to meters:
Side length = 10cm = 10 / 100 = 0.1m
Volume = (0.1)^3 = 0.001 cubic meters
Now, we can solve for the mass using the formula:
Mass = Density * Volume
Mass = 7.8 A * 0.001 cubic meters
Thus, the mass of the solid steel cube of side 10cm is 0.0078 A.
B. To find the volume of steel that has a mass of 8kg, we can rearrange the formula mentioned earlier:
Volume = Mass / Density
Given that the mass is 8kg and the density of steel is 7.8 A, we can substitute these values into the formula:
Volume = 8kg / 7.8 A
Thus, the volume of steel with a mass of 8kg is approximately 1.026 cubic meters.