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
.
3
437,400 in. cubed
5,832 in.3
5
,
832
in
.
3
5,832 in. cubed
1,350 in.3
1
,
350
in
.
3
1,350 in. cubed
24,300 in.2
Responses
437,400 in.3
437
,
400
in
.
3
437,400 in. cubed
5,832 in.3
5
,
832
in
.
3
5,832 in. cubed
1,350 in.3
1
,
350
in
.
3
1,350 in. cubed
24,300 in.2
Answers
GPT-4o mini
To find the total space needed to transport the boxes, we first calculate the volume of a single cube using the formula for the volume of a cube, which is:
\[
V = s^3
\]
where \( s \) is the side length of the cube.
Given that the side length \( s \) is 18 inches:
\[
V = 18^3 = 18 \times 18 \times 18 = 5,832 \text{ in}^3
\]
Now, since there are 75 boxes, we multiply the volume of one box by the total number of boxes:
\[
\text{Total Volume} = 5,832 \text{ in}^3 \times 75 = 437,400 \text{ in}^3
\]
Therefore, the total space needed to transport the 75 boxes is:
**437,400 in³ (in cubed)**.
\[
V = s^3
\]
where \( s \) is the side length of the cube.
Given that the side length \( s \) is 18 inches:
\[
V = 18^3 = 18 \times 18 \times 18 = 5,832 \text{ in}^3
\]
Now, since there are 75 boxes, we multiply the volume of one box by the total number of boxes:
\[
\text{Total Volume} = 5,832 \text{ in}^3 \times 75 = 437,400 \text{ in}^3
\]
Therefore, the total space needed to transport the 75 boxes is:
**437,400 in³ (in cubed)**.