Question

a company makes wax candles shaped like rectangular prisms. each candle is 4 cm long, 3 cm wide, and 10 cm tall. if the company used 4080 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 the formula \(V = l\times w\times h\), where \(l = 4\) cm (length), \(w = 3\) cm (width), and \(h=10\) cm (height).

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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 \(4080\space\text{cm}^3\). Since the volume of one candle is \(V = 120\space\text{cm}^3\), we use the formula \(n=\frac{\text{Total Volume}}{\text{Volume of one candle}}\)

$$ n=\frac{4080}{120}=34 $$

Answer:

\(34\)