Respuesta :
The weight of 15 bags is 276 kilograms, and the volume of 15 bags is 2.22 cubic yards
The weight of a bag of garden soil = 40 pounds.
The volume of the 40 pounds bag of garden soil = 4 cubic feet.
We need to find the weight and volume of 15 bags of the same kind mentioned above.
From the given statement we can write as:
1 bag = 40 pounds
If we need to find the weight of 15 similar bags we will multiply 15 on both sides of the above equation.
15 x 1 bag = 15 x 40 pounds
15 bags = 600 pounds.
We see that 15 bags will weigh 600 pounds.
We need the volume of 15 bags in kilograms.
We know that,
1 pounds = 0.46 kilograms
600 x 1 pounds = 600 x 0.46 kilograms
600 pounds = 276 kilograms.
Now, from the given statement.
The volume of 1 bag holds 4 cubic feet.
We can write it as,
1 bag = 4 cubic feet
To get the volume of 15 bags, multiply 15 on both sides.
15 x 1 bag = 15 x 4 cubic feet
15 bags = 60 cubic feet
We see that volume of 15 bags is 60 cubic feet.
We need the volume of 15 bags in cubic yards.
We know that,
1 yards = 3 feet
1 feet = 1/3 yards
Cubing on both sides we get,
1 cubic feet = 1/27 cubic yards
Thus,
60 cubic feet = 60 x 1 cubic feet
= 60 x 1/27 cubic yards
= 2.22 cubic yards
Hence, the weight of 15 bags is 276 kilograms, and the volume of 15 bags is 2.22 cubic yards
Learn more about the conversion of units here:
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