The lifting capacity of the elevator is 3 tons. How many sheets of iron can be loaded

The lifting capacity of the elevator is 3 tons. How many sheets of iron can be loaded into the elevator if the length of each sheet is 3 meters, width 60 cm, thickness 4 mm.

1. Let’s calculate the mass of one sheet of iron.

m = V * ρ

ρ is the density of iron, we take from the reference book:

ρ = 7.8 * 10³ kg / m³

V is the volume of the body. Let’s calculate it using the initial data, but first we will bring them to a unified system of change.

Length L = 3 m,

Width B = 60 cm = 0.6 m,

Thickness s = 4 mm = 0.004 m.

V = L * B * s = 3 * 0.6 * 0.004 = 0.0072 m³.

Find the mass of one sheet

m = 0.0072 * 7.8 * 10³ = 56.16 kg

2. Determine the number of sheets.

Carrying capacity 3 t = 3000 kg

3000 / 56.16 = 53.4

Answer: 53 sheets.