A shoebox has a length of 30 cm, a width of 15 cm, and a height of 10 cm. What is its volume?

The volume is 30 cm×15 cm×10 cm=4500 cubic centimeters (cm3).

Step-by-Step Solution

1. Understand the problem
   The volume of a rectangular box (or cuboid) is found using the formula:

   $$\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$$

2. Substitute the given values

   • Length = 30 cm

   • Width = 15 cm

   • Height = 10 cm

   So,

   $$\text{Volume} = 30 \times 15 \times 10$$

3. Calculate carefully

   • Step 1: $30 \times 15 = 450$

   • Step 2: $450 \times 10 = 4500$

   Therefore,

   $$\text{Volume} = 4500 \, \text{cm}^3$$

Final Answer:

The volume of the shoebox is:

4500 cubic centimeters (cm³).

Explanation

The unit “cubic centimeters” comes from multiplying three lengths measured in centimeters. Each multiplication step builds up a dimension of space:

• First two numbers give the area of the base (length × width).

• Multiplying by the height gives the total space inside the box.

This method works for all cuboid-shaped objects, making it a reliable approach in real-world situations such as packaging, storage, and shipping.