Stephanie puts 30 cubes in a box. The cubes are inch on each side. The box holds 2 layers w 1/2 15 cubes in each layer. What is the volume of the box?

1. The dimensions of the box are given as \(2 \frac { 1} { 2} \) inches, \(1 \frac { 1} { 2} \) inches, and 1 inch.
2. Convert the mixed numbers to improper fractions or decimals:
   • \(2 \frac { 1} { 2} = 2.5\) inches
   • \(1 \frac { 1} { 2} = 1.5\) inches
3. Use the formula for the volume of a rectangular prism: \(\text { Volume} = \text { length} \times \text { width} \times \text { height} \)
   • Volume = \(2.5\) inches \(\times \) \(1.5\) inches \(\times \) \(1\) inch
   • Volume = \(3.75\) cubic inches

Supplemental Knowledge

Volume calculation is a fundamental concept in geometry, especially when dealing with three-dimensional shapes. The volume of a rectangular prism (or box) can be calculated using the formula:
\[\text { Volume} = \text { Length} \times \text { Width} \times \text { Height} \]
In this scenario, we are given the dimensions of the box and need to calculate its volume.

Theory in Practice

Understanding how to calculate volume can be essential in many real-life applications, from shipping items via Fedex or UPS, calculating shipping volume helps determine box sizes needed; and construction projects utilizing concrete need accurate volumes estimates in order to mix an adequate mix.

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