Question
How to calculate the volume of a 5x3x2 feet container and determine the maximum number of 0.5 cubic feet items that can fit inside it
Answers
Answered by
GPT-4o mini
To find the volume of a container, you can use the formula for the volume of a rectangular prism, which is:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
For your container, the dimensions are 5 feet (length), 3 feet (width), and 2 feet (height):
\[ \text{Volume} = 5 \, \text{ft} \times 3 \, \text{ft} \times 2 \, \text{ft} \]
Calculating that gives:
\[ \text{Volume} = 5 \times 3 \times 2 = 30 \, \text{cubic feet} \]
Next, to determine the maximum number of items that can fit inside the container, you need to know the volume of each item, which is 0.5 cubic feet. You can find the number of items by dividing the total volume of the container by the volume of one item:
\[ \text{Number of items} = \frac{\text{Volume of container}}{\text{Volume of one item}} = \frac{30 \, \text{cubic feet}}{0.5 \, \text{cubic feet}} \]
Calculating that gives:
\[ \text{Number of items} = \frac{30}{0.5} = 60 \]
Therefore, the maximum number of 0.5 cubic feet items that can fit inside the 5x3x2 feet container is **60 items**.
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
For your container, the dimensions are 5 feet (length), 3 feet (width), and 2 feet (height):
\[ \text{Volume} = 5 \, \text{ft} \times 3 \, \text{ft} \times 2 \, \text{ft} \]
Calculating that gives:
\[ \text{Volume} = 5 \times 3 \times 2 = 30 \, \text{cubic feet} \]
Next, to determine the maximum number of items that can fit inside the container, you need to know the volume of each item, which is 0.5 cubic feet. You can find the number of items by dividing the total volume of the container by the volume of one item:
\[ \text{Number of items} = \frac{\text{Volume of container}}{\text{Volume of one item}} = \frac{30 \, \text{cubic feet}}{0.5 \, \text{cubic feet}} \]
Calculating that gives:
\[ \text{Number of items} = \frac{30}{0.5} = 60 \]
Therefore, the maximum number of 0.5 cubic feet items that can fit inside the 5x3x2 feet container is **60 items**.
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