4 freight cars can be filled by 120 scoops of excavator having a total mass of 156 tons and a volume of 3120 ft³.
What do we mean by volume or capacity of a substance?
In three-dimensional space, volume refers to the entire amount of space occupied by an item. Capacity refers to an object's capacity to contain, absorb, or accept anything (such as a solid material, gas, or liquid).
What do we mean by the mass of a substance?
The amount of matter in a substance or object is measured by its mass.
How do we solve the given question?
In the question, we are given that the scoop of an excavator holds 26 ft³of sand.
We are asked if the capacity of a freight car is 39 tons of sand, then how many freight cars can be filled with 120 scoops.
We are also informed that 1 ft³ of sand weighs 0.05 tons.
We first find the mass of sand in one scoop of an excavator.
The volume of sand in one scoop of an excavator = 26 ft³.
Mass of 1 ft³ of sand = 0.05 tons.
∴ Mass of 26 ft³ of sand, that is, the mass of sand in one scoop of an excavator = 26*0.05 tons = 1.3 tons.
∴ Mass of 120 scoops = 120*1.3 tons = 156 tons.
The capacity of one freight car = 39 tons
∴ Number of freight cars in 156 tons = 156/39 = 4.
∴ 4 freight cars can be filled by 120 scoops of excavator having a total mass of 156 tons and a volume of 3120 ft³.
Learn more about the mass and volume of a substance at
https://brainly.com/question/1354972
#SPJ2
