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?
To calculate the volume of the storage container, you correctly converted the dimensions from yards to feet. However, it seems there is a mistake in your calculation for the container's volume.
To calculate the volume of a rectangular container, you need to multiply its length, width, and height. Given that the dimensions of the container are 4 yards long, 10 yards wide, and 2 yards tall, let's convert these to feet:
Length: 4 yards = 4 yards * 3 feet/yard = 12 feet
Width: 10 yards = 10 yards * 3 feet/yard = 30 feet
Height: 2 yards = 2 yards * 3 feet/yard = 6 feet
Now, we can calculate the volume of the storage container:
Volume of container = Length * Width * Height
= 12 feet * 30 feet * 6 feet
= 2,160 cubic feet
So, the correct volume of the storage container is 2,160 cubic feet, not 2,160 feet.
Now, if each bag contains 7 cubic feet of peanuts, we can determine how many bags are needed to fill the container by dividing the container's volume by the volume of a single bag:
Number of bags = Volume of container / Volume of a single bag
= 2,160 cubic feet / 7 cubic feet
≈ 308.57 bags
Since you can't have a fraction of a bag, you would need to round up to the nearest whole number. Therefore, it would take approximately 309 bags of peanuts to fill the storage container.