Chalk−1

Biology · Introductory biology · Worked example

Find a cell’s actual size from a scale bar

On a printed micrograph, a 10 µm scale bar measures 25 mm, and a cell measures 60 mm across. Find the magnification and the cell’s actual diameter.

Convert the bar’s image length

Put both lengths in micrometres: 25 mm is 25,000 µm.

25×1000=25000

Find the magnification

Divide the bar’s image length by the real length it represents.

2500010=2500

Find the actual size

The cell measures 60 mm, or 60,000 µm, on the image. Divide by the magnification.

600002500=24

Check with a proportion

On the image the cell is 60/25 = 2.4 times as long as the bar, so in reality it is 2.4 times the bar’s 10 µm.

6025⋅10=24

Result

The magnification is 2,500×, and the cell is 24 µm across.

Your turn

On a screen, a 5 µm scale bar measures 15 mm and a mitochondrion measures 6 mm long. Find the magnification and the mitochondrion’s length.

Show the answer and explanation

3,000×, and 2 µm long.

15 mm = 15,000 µm, so the magnification is 15,000/5 = 3,000. The mitochondrion is 6,000 µm/3,000 = 2 µm long, which is also 6/15 of the 5 µm bar.

150005=300060003000=2

Keep exploring

The scale-bar tool opens in magnification mode for a print 150 mm wide at 2,500×. It confirms that a 10 µm bar is 25 mm long on the print, or 250 of 1,500 pixels.

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