Question

a factory makes candles. each candle is in the shape of a triangular prism, as shown below. if the factory used 7290 cm³ of wax, how many candles did the factory make? (there is a diagram of a triangular prism with dimensions 6 cm, 9 cm, 10 cm)

Explanation:

Step1: Calculate volume of one candle

The formula for the volume of a triangular prism is \( V=\frac{1}{2}\times base\times height\times length \). Here, base = 6 cm, height = 10 cm, length = 9 cm.
\[
V=\frac{1}{2}\times6\times10\times9 = 3\times10\times9=270\space cm^3
\]

Step2: Find number of candles

Total wax used is \( 7290\space cm^3 \). Number of candles \( n=\frac{\text{Total Volume}}{\text{Volume of one candle}} \)
\[
n = \frac{7290}{270}=27
\]

Answer:

27