Question

a factory makes candles. each candle is in the shape of a triangular prism, as shown below. if the factory used 7350 \\(\mathrm{cm}^3\\) of wax, how many candles did the factory make? 10 cm 7 cm 6 cm candles

Explanation:

Step1: Find base triangle area

The base is a triangle with base $6\ \text{cm}$ and height $7\ \text{cm}$. Area formula: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$
$\text{Area of triangle} = \frac{1}{2} \times 6 \times 7 = 21\ \text{cm}^2$

Step2: Calculate volume of 1 candle

Volume of triangular prism = base area × length of prism
$\text{Volume of 1 candle} = 21 \times 10 = 210\ \text{cm}^3$

Step3: Find number of candles

Divide total wax by volume per candle
$\text{Number of candles} = \frac{7350}{210}$

Answer:

35