Let's break down this word problem step by step.

Type of Word Problem:

This is a volume word problem. Specifically, it deals with finding the volume of a rectangular prism, which is the shape of the gift box. In this case, the volume of the box is being asked.

What is Being Asked:

The problem is asking for the volume of the gift box, which has the following dimensions:

• Length = 12 cm
• Width = 7 cm
• Height = 11 cm

How Do We Solve This Problem:

To find the volume of a rectangular prism, we use the formula: $\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$ Substitute the given values: $\text{Volume} = 12 \, \text{cm} \times 7 \, \text{cm} \times 11 \, \text{cm}$ Now, let's calculate it:

$\text{Volume} = 12 \times 7 = 84$ $\text{Volume} = 84 \times 11 = 924 \, \text{cm}^3$

So, the volume of the gift box is 924 cubic centimeters.

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If you'd like further details or need clarification on any step, feel free to ask! Here are a few related questions to help deepen your understanding:

1. What are some other types of 3D shapes for which we can calculate volume?
2. How would the formula change if the box were a triangular prism instead of a rectangular prism?
3. What units of measurement are used for volume, and why is it cubic?
4. How would you calculate the surface area of the gift box?
5. How would the volume change if the dimensions were doubled?

Tip: Always remember to check if the units are consistent when calculating volume. In this case, all measurements were in centimeters, so the result is in cubic centimeters.