Question
A delivery truck service needs 2 transport 75 boxes. Da boxes r all cubes with a side length of 18 in. How much space will da service need 2 transport da boxes? Use da formula for da volume of a cube
A ) 437,400 in 3
B ) 5,832 in 3
C ) 24,300 in 3
D ) 1,35o in 3
A ) 437,400 in 3
B ) 5,832 in 3
C ) 24,300 in 3
D ) 1,35o in 3
Answers
GPT-4o mini
To find the volume required to transport the 75 boxes, we first need to calculate the volume of one cube using the formula for the volume of a cube:
\[
V = s^3
\]
where \(s\) is the side length of the cube. In this case, the side length \(s\) is 18 inches.
Calculating the volume of one box:
\[
V = 18^3 = 18 \times 18 \times 18 = 5,832 \text{ in}^3
\]
Next, we need to calculate the total volume for 75 boxes:
\[
\text{Total Volume} = 75 \times 5,832 \text{ in}^3
\]
Now we calculate it:
\[
75 \times 5,832 = 437,400 \text{ in}^3
\]
So, the total volume needed to transport the boxes is \(437,400 \text{ in}^3\).
Therefore, the answer is:
**A) 437,400 in³**
\[
V = s^3
\]
where \(s\) is the side length of the cube. In this case, the side length \(s\) is 18 inches.
Calculating the volume of one box:
\[
V = 18^3 = 18 \times 18 \times 18 = 5,832 \text{ in}^3
\]
Next, we need to calculate the total volume for 75 boxes:
\[
\text{Total Volume} = 75 \times 5,832 \text{ in}^3
\]
Now we calculate it:
\[
75 \times 5,832 = 437,400 \text{ in}^3
\]
So, the total volume needed to transport the boxes is \(437,400 \text{ in}^3\).
Therefore, the answer is:
**A) 437,400 in³**