We need to find out how many chocolates Elena can make from the block of chocolate by calculating the volumes of both the block of chocolate and the chocolate mold.

Step 1: Volume of the block of chocolate

The block of chocolate is shaped like a rectangular prism with the following dimensions:

• Length: 24 cm
• Width: 15 cm
• Height: 3 cm

The volume $V$ of a rectangular prism is calculated using the formula: $V = \text{length} \times \text{width} \times \text{height}$ $V_{\text{block}} = 24 \, \text{cm} \times 15 \, \text{cm} \times 3 \, \text{cm} = 1080 \, \text{cm}^3$

Step 2: Volume of the chocolate mold

The mold is also a rectangular prism with the following dimensions:

• Length: 3 cm
• Width: 2 cm
• Height: 2 cm

The volume of one chocolate mold is: $V_{\text{mold}} = 3 \, \text{cm} \times 2 \, \text{cm} \times 2 \, \text{cm} = 12 \, \text{cm}^3$

Step 3: Number of chocolates

To find out how many chocolates can be made, we divide the volume of the block of chocolate by the volume of one mold: $\text{Number of chocolates} = \frac{V_{\text{block}}}{V_{\text{mold}}} = \frac{1080 \, \text{cm}^3}{12 \, \text{cm}^3} = 90$

Thus, Elena can make 90 chocolates with the block of chocolate.

Would you like further details or explanations on any step?

Here are 5 related questions for further exploration:

1. What would happen if the mold size changes to 4 cm by 3 cm by 2 cm?
2. How would the result change if the block of chocolate were twice as thick?
3. How can we calculate the surface area of the block of chocolate?
4. How much chocolate is left if she makes only 75 chocolates?
5. What is the ratio of the block's volume to the mold's volume?

Tip: Always ensure that the units of measurement are consistent when calculating volume, especially when working with different shapes.