Question

a company makes wax candles shaped like rectangular prisms. each candle is 7 cm long, 2 cm wide, and 10 cm tall. if the company used 5740 cm³ of wax, how many candles did they make? candles

Explanation:

Step1: Calculate the volume of one candle

The volume \(V\) of a rectangular prism is given by \(V = l\times w\times h\), where \(l = 7\) cm, \(w = 2\) cm, and \(h = 10\) cm.

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Step2: Find the number of candles

Let \(n\) be the number of candles. We know that the total volume of wax used is \(5740\space\text{cm}^3\). Using the formula \(n=\frac{\text{Total Volume}}{\text{Volume of one candle}}\), we substitute the values.

$$ n=\frac{5740}{140}=41 $$

Answer:

\(41\)