https://file.aiquickdraw.com/mathbot/file/172645136886709i8lgt9.jpg

The candles in the image are shaped like triangular prisms. To find the amount of wax used, we first need to calculate the volume of one candle (prism) and then multiply by the total number of candles (35).

The formula for the volume \( V \) of a triangular prism is:

\[
V = \text{Area of base} \times \text{Height of the prism}
\]

Here, the base is a triangle, and the formula for the area \( A \) of a triangle is:

\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]

From the diagram:
- The base of the triangle is \( 6 \, \text{cm} \),
- The height of the triangle is \( 7 \, \text{cm} \),
- The height of the prism (length of the candle) is \( 10 \, \text{cm} \).

### Step 1: Calculate the area of the triangular base

\[
A = \frac{1}{2} \times 6 \, \text{cm} \times 7 \, \text{cm} = \frac{1}{2} \times 42 \, \text{cm}^2 = 21 \, \text{cm}^2
\]

### Step 2: Calculate the volume of one candle

\[
V = 21 \, \text{cm}^2 \times 10 \, \text{cm} = 210 \, \text{cm}^3
\]

### Step 3: Calculate the total volume for 35 candles

\[
\text{Total volume} = 210 \, \text{cm}^3 \times 35 = 7350 \, \text{cm}^3
\]

Thus, the factory used **7350 cubic centimeters** of wax.

Would you like further details or explanations on any part of the process? Here are 5 related questions you might find helpful:

1. How do you calculate the surface area of a triangular prism?
2. What is the importance of units in volume calculations?
3. How does the shape of a prism affect its volume formula?
4. Can the formula for the volume of a triangular prism be applied to other shapes?
5. How would the total volume change if the prism’s dimensions were doubled?

**Tip:** Always ensure that all the dimensions used in a volume calculation are in the same units to avoid incorrect results.

A factory makes candles. Each candle is in the shape of a triangular prism, with a base of 6 cm, height of 7 cm, and the length of the prism (candle) being 10 cm. If the factory made 35 such candles, how much wax did the factory use (in cubic centimeters)?

Learn how to calculate the amount of wax used by a factory to make 35 candles shaped like triangular prisms. Each candle has a triangular base with a 6 cm base, 7 cm height, and a prism height of 10 cm. Suitable for students in Grades 6-8, this problem covers the geometry concepts of prism volume and triangle area.

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