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

1,350 in.3
1,350 in. cubed

437,400 in.3
437,400 in. cubed

5,832 in.3
5,832 in. cubed

24,300 in.2

Answer 1

To determine the space needed to transport the boxes, we first calculate the volume of a single box using the formula for the volume of a cube:

\[
V = s^3
\]

where \( s \) is the side length of the cube.

Given that the side length of each box is 18 inches, we can calculate 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 \( 5,832 \) in³.

Next, we need to find the volume for 75 boxes:

\[
\text{Total Volume} = 75 \times 5,832
\]

Calculating that:

\[
75 \times 5,832 = 437,400 \text{ in}^3
\]

Thus, the total volume required to transport the 75 boxes is **437,400 in³**.

The correct response is:

**437,400 in.³**