Question
A delivery truck service needs to transport 75 boxes. The boxes are all cubes with a side length of 18 in. How much space will the service need to transport the boxes? Use the formula for the volume of a cube.(1 point)
Responses
437,400 in.3
437,400 in. cubed
24,300 in.2
24,300 in. squared
5,832 in.3
5,832 in. cubed
1,350 in.3
1,350 in. cubed
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Responses
437,400 in.3
437,400 in. cubed
24,300 in.2
24,300 in. squared
5,832 in.3
5,832 in. cubed
1,350 in.3
1,350 in. cubed
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Answers
GPT-4o mini
To find out how much space the delivery truck needs to transport 75 boxes, we first need to calculate the volume of one box.
The formula for the volume \( V \) of a cube is:
\[
V = s^3
\]
where \( s \) is the side length of the cube.
In this case, the side length of each box is 18 inches.
Calculating the volume of one box:
\[
V = 18^3 = 18 \times 18 \times 18
\]
Calculating step by step:
1. \( 18 \times 18 = 324 \)
2. \( 324 \times 18 = 5,832 \)
So, the volume of one box is \( 5,832 \) cubic inches.
Now, to find the total volume for 75 boxes:
\[
\text{Total Volume} = 75 \times 5,832
\]
Calculating this:
\[
75 \times 5,832 = 437,400
\]
Thus, the total volume required to transport the boxes is \( 437,400 \) cubic inches.
The correct response is:
**437,400 in. cubed**.
The formula for the volume \( V \) of a cube is:
\[
V = s^3
\]
where \( s \) is the side length of the cube.
In this case, the side length of each box is 18 inches.
Calculating the volume of one box:
\[
V = 18^3 = 18 \times 18 \times 18
\]
Calculating step by step:
1. \( 18 \times 18 = 324 \)
2. \( 324 \times 18 = 5,832 \)
So, the volume of one box is \( 5,832 \) cubic inches.
Now, to find the total volume for 75 boxes:
\[
\text{Total Volume} = 75 \times 5,832
\]
Calculating this:
\[
75 \times 5,832 = 437,400
\]
Thus, the total volume required to transport the boxes is \( 437,400 \) cubic inches.
The correct response is:
**437,400 in. cubed**.