Laetitia needs to store 8 boxes while she is moving. Each box is a cube with edge length 3 feet. A storage facility charges $0.75 for every cubic foot of storage per month. Find the amount of money Laetitia will pay to store her boxes for one month.​



Answer :

Hi1315

Answer:

$ 162

Step-by-step explanation:

To find out how much Laetitia will pay to store her boxes for one month, we need to calculate the total volume of all the boxes and then multiply it by the storage cost per cubic foot.

Each box is a cube with an edge length of 3 feet. So, the volume of each box is:

[tex]\text{Volume of one box} = (\text{edge length})^3 = (3 \text{ feet})^3 = 27 \text{ cubic feet}[/tex]

Since Laetitia has 8 boxes, the total volume of all her boxes is:

[tex]\text{Total volume} = 8 \times 27 \text{ cubic feet} = 216 \text{ cubic feet}[/tex]

Now, the storage facility charges $0.75 for every cubic foot of storage per month. So, to find the total cost for one month, we multiply the total volume by the price per cubic foot:

[tex]\text{Total cost for one month} = \text{Total volume} \times \text{Cost per cubic foot}[/tex]

[tex]= 216 \text{ cubic feet} \times \:0.75[/tex]

[tex]= \$162[/tex]

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