https://file.aiquickdraw.com/mathbot/file/17266634036564f154pas.jpg

The problem in the image asks how many candles can be made if a company uses 5100 cm³ of wax. Each candle is shaped like a rectangular prism with dimensions 5 cm long, 4 cm wide, and 15 cm tall.

### Step-by-Step Solution:

1. **Volume of One Candle:**
   The volume of a rectangular prism is calculated as:
   \[
   V = \text{length} \times \text{width} \times \text{height}
   \]
   Here, the dimensions are:
   - Length = 5 cm
   - Width = 4 cm
   - Height = 15 cm

   So the volume of one candle is:
   \[
   V = 5 \times 4 \times 15 = 300 \, \text{cm}^3
   \]

2. **Total Wax Used:**
   The company has 5100 cm³ of wax.

3. **Number of Candles:**
   To find how many candles can be made, divide the total wax by the volume of one candle:
   \[
   \text{Number of candles} = \frac{5100}{300} = 17
   \]

### Answer:
The company can make **17 candles**.

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Would you like any more details or further clarifications?

Here are five related questions for further practice:
1. What would happen if the dimensions of the candle changed to 6 cm long, 4 cm wide, and 15 cm tall?
2. How many candles can be made if the wax available is doubled?
3. If the candle's height is halved, how many can be made from the same amount of wax?
4. What is the total surface area of one candle with the given dimensions?
5. How much wax is left over if only 16 candles are made?

**Tip:** Always remember to use consistent units when calculating volume or surface area!

A company makes wax candles shaped like rectangular prisms. Each candle is 5 cm long, 4 cm wide, and 15 cm tall. If the company used 5100 cm³ of wax, how many candles did they make?

This math problem calculates how many rectangular prism-shaped candles can be made using 5100 cm³ of wax, with each candle having dimensions of 5 cm by 4 cm by 15 cm. Learn the step-by-step solution involving volume calculation and division. Suitable for Grades 6-8.

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