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

1 answer

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