How much dirt is needed to fill a rectangular flower box that is 24 inches long, 12 inches wide, and 10 inches high?

To determine the amount of dirt needed to fill the rectangular flower box, we need to calculate its volume. The volume $V$ of a rectangular box can be found using the formula:

$V = \text{length} \times \text{width} \times \text{height}$

Given the dimensions:

• Length ($l$) = 24 inches
• Width ($w$) = 12 inches
• Height ($h$) = 10 inches

Substitute these values into the formula:

$V = 24 \, \text{inches} \times 12 \, \text{inches} \times 10 \, \text{inches}$

First, multiply the length and width:

$24 \times 12 = 288$

Next, multiply the result by the height:

$288 \times 10 = 2880$

Therefore, the volume of the flower box is 2880 cubic inches. This is the amount of dirt needed to fill the rectangular flower box.