Question

a company makes wax candles shaped like rectangular prisms. each candle is 6 cm long, 5 cm wide, and 14 cm tall. if the company used 4620 cm³ of wax, how many candles did they make?

Explanation:

Step1: Calculate the volume of one candle

The volume \(V\) of a rectangular prism is given by \(V = l\times w\times h\). Here, \(l = 6\) cm, \(w = 5\) cm, \(h=14\) cm.

$$V=6\times5\times14 = 420\space cm^{3}$$

Step2: Find the number of candles

Let \(n\) be the number of candles. We know that the total volume of wax is \(4620\space cm^{3}\). Using the formula \(n=\frac{\text{Total volume of wax}}{\text{Volume of one candle}}\)

$$n=\frac{4620}{420}=11$$

Answer:

11