What is the formula for calculating the volume of a box?

• A. l x w
• B. l x w x h
• C. πr^2h
• D. 2πr^2

Answer: (B)

The volume of a box is calculated by multiplying its length, width, and height together. This can be understood as measuring how much space the box occupies in three-dimensional space. The formula l x w x h incorporates all three dimensions of the box:

• Length represents one side of the box,

• Width represents the adjacent side, and

• Height represents how tall the box is.

Multiplying these three measurements gives the total volume in cubic units, effectively providing the total capacity of the box.

The other formulas listed serve different geometric shapes or contexts: for instance, the formula πr²h is used for calculating the volume of a cylinder, where r is the radius and h is the height. Meanwhile, 2πr² relates to the surface area of a cylinder or the area of a circle multiplied by two, and l x w represents the area of a rectangle, which does not take height into account and therefore cannot be used to find volume. Thus, using length, width, and height correctly provides the formula for the volume of a box.