# If an object the size of the empire statbuilding had iron density,what would be .

• promeus
In summary, the conversation discusses the mass of an object the size of the empire state building with a density of iron. The estimated volume is 37 million cubic feet and the mass is calculated to be 8.18 billion kilograms. A follow-up question is posed about the energy required to propel the object at Mach 7 speeds.

#### promeus

If an object the size of the empire statbuilding had iron density,what would be ...

the mass of it?

The estimated volume of the empire state building is 37 million cubic feet,how could I calculate the mass of this solid object if it had a density of Iron(which would be 7870 kg/m³)?

Multiply the density by the volume.

So I converted the ft^3 to m^3 and I have 1.04 million m^3* 7870kg/m^3=8184800000 kg/m^3.Did I do this right or do I have to remove the kg/m^3?

Wow if I am correct is that over 8 billion kilograms of mass?

So here is a follow up question,how much energy would be required to propel this object at Mach 7 speeds?

1/2 mv2

m=mass in kg
v=speed in meters / second

That would be if the propulsion device was 100% efficient and there was no air resistance.

## 1. What is the size of the Empire State Building?

The Empire State Building is approximately 1,250 feet tall and has a total volume of 37 million cubic feet.

## 2. What is the density of iron?

The density of iron is 7.87 grams per cubic centimeter.

## 3. How would the size of an object affect its density?

The size of an object does not affect its density, as density is a measurement of how much mass is packed into a certain volume. However, the larger the object, the more mass it will have.

## 4. What would be the mass of an Empire State Building-sized object with the density of iron?

The mass of an object with the same size and density as the Empire State Building would be approximately 291 million kilograms.

## 5. What are some common materials with similar densities to iron?

Some common materials with similar densities to iron include nickel, cobalt, and steel. Precious metals like gold and silver also have similar densities.