A company makes wax candles shaped like rectangular prisms. Each candle is 5cm long, 2cm wide, and 12cm tall. If the company used 5040cm3 of wax, how many candles did they make?
Question
A company makes wax candles shaped like rectangular prisms. Each candle is 5cm long, 2cm wide, and 12cm tall. If the company used 5040cm3 of wax, how many candles did they make?
Solution
To find out how many candles the company made, we first need to calculate the volume of one candle.
The volume of a rectangular prism (or a box) is calculated by multiplying its length, width, and height.
So, for one candle:
Volume = length * width * height Volume = 5cm * 2cm * 12cm Volume = 120cm³
Now, we know that the company used 5040cm³ of wax in total. To find out how many candles this amount of wax can make, we divide the total volume of wax used by the volume of one candle:
Number of candles = Total volume / Volume of one candle Number of candles = 5040cm³ / 120cm³ Number of candles = 42
So, the company made 42 candles.
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