The volume of the car body is 4 m in a cube, the carrying capacity is 5 tons.

The volume of the car body is 4 m in a cube, the carrying capacity is 5 tons. Is it possible to load the whole car with sand? How many m in a cube of sand will fit into the body as much as possible? sand density 1200 kg / m3.

To determine how many cubic meters of sand will fit into the car body as much as possible, knowing that the density of sand is ρ = 1200 kg / m³, we will use the formula: V (p) = m (p) / ρ, where V (p) is the volume of sand in the car, m (p) is the mass of this sand. From the condition of the problem it is known that the volume of the car body is V = 4 m³, its carrying capacity is m = 5 t = 5000 kg. Substitute the values ​​of physical quantities in the calculation formula and find the volume of sand in 5 tons: V = 5000/1200; V = 4.16 (m³). This means that the volume of the car body can be completely loaded with sand V> V (n), since 4 m³ of sand will weigh less than the permissible carrying capacity of the car: m (n) = ρ ∙ V; m (p) = 1200 ∙ 4 = 4800 (kg); m> m (n).
Answer: 4 cubic meters of sand will fit into the car body as much as possible.