Final answer:
The minimum surface area of a box that can hold a row of five 30mm diameter by 15mm height candles is 13500 square mm.
Step-by-step explanation:
In order to calculate the minimum surface area of the box required to hold five cylindrical candles, you first need to determine the effective dimensions of the five candles arranged in a row. The diameter of one cylindrical candle is 30mm, so the width of the box will need to be at least 30mm. The length of the box is five times the diameter, which equals 150mm. The height of the box will need to be 15mm, which is the height of the candle. The surface area of a box (with a lid) is given by the formula: 2*(length*width + length*height + width*height). So substituting the values in we get: 2*(150*30 + 150*15 + 30*15) = 13500 square mm.
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