A plant manager built a storage container that is 4 yd long, 10yd wide, and 2 yd tall to store foam reanuts. If the manager purchases bags that contain 7FTcubed of peanuts how many bags of peanuts will it take to fill the container? I converted the yd's to ft and calculated the volume as below.
I went with the volume of the contain as 2,160' with the volume of the peanut bags as 343' so I said 6.3 bags is that right?
The volune of the container (2160 ft^3) is OK, but I interpret the peanut bag volume as being 7 ft^3, not 7^3 = 343 ft^3.
2160/7 = 308 bags
So, the symbol 7ft cubed is different than 7 cubed? I'm only a 5th grader sorry.
7 ft^3 or 7 feet cubed means 7 cubic feet
If a cube it means length of one side cubed = 7
or the length of one side = about 1.91 feet.
Admittedly the statement is kind of confusing. To get 343 ft^3 they would have to say that the volume of a bag was 343 ft^3.
To find out how many bags of peanuts it would take to fill the container, let's first calculate the volume of the container correctly.
Given:
Length of the container = 4 yards
Width of the container = 10 yards
Height of the container = 2 yards
Since 1 yard is equal to 3 feet, we can convert the dimensions to feet as follows:
Length of the container = 4 yards * 3 feet/yard = 12 feet
Width of the container = 10 yards * 3 feet/yard = 30 feet
Height of the container = 2 yards * 3 feet/yard = 6 feet
Now, let's calculate the volume of the container:
Volume of the container = Length * Width * Height
= 12 feet * 30 feet * 6 feet
= 2,160 cubic feet
Next, we need to determine the volume of each bag of peanuts.
Given:
Volume of each bag of peanuts = 7 cubic feet
Finally, to find out how many bags of peanuts it would take to fill the container, we need to divide the volume of the container by the volume of each bag:
Number of bags = Volume of the container / Volume of each bag
= 2,160 cubic feet / 7 cubic feet
≈ 308.57
Since the number of bags cannot be in decimal, we need to round it to the nearest whole number. Therefore, it would take approximately 309 bags of peanuts to fill the container.
So, the correct answer is 309 bags, not 6.3 bags.