gold angle weight calculator
Enter the dimensions of a gold angle and this works out its volume and weight. Fine gold, 24 karat. 18k yellow gold is nearer 15600.
- Weight of one angle
- 9.177
- Volume of one piece
- 475
- Weight per metre of length
- 9.177 kg/m
- Density used
- 19 320 kg/m3
Show the working
- Leg A = 50
- Leg B = 50
- Thickness = 5
- Length = 1000
- Number of pieces = 1
- volume_mm3 = (50*5 + (50 - 5)*5) * 1000 = 475 000
- Volume of one piece = 475 000 / 1000 = 475
- Density used = 19320 = 19 320
- Weight of one angle = 475 000 * 19 320 / 1e9 = 9.177
- Total weight = 9.177 * 1 = 9.177
- Weight per metre of length = 475 000 / 1000 * 1000 * 19 320 / 1e9 = 9.177
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- Volume = (A x t + (B - t) x t) x length, ignoring the root and toe radii
- Weight = volume x density, with density = 19320 kg/m3
- One cubic millimetre of a material at 1000 kg/m3 weighs exactly one milligram, so the millimetre-to-kilogram step is a shift of the decimal point rather than a rounded factor.
Fine gold, 24 karat. 18k yellow gold is nearer 15600.
Dimensions are nominal. Mill tolerances on thickness, and the corner radii on formed sections, both move the real weight by a percent or two.
Every field takes inches or feet as readily as millimetres: change the unit next to it and the conversion is done exactly before the arithmetic starts.
Frequently asked
What is the density of gold?
19320 kg/m3, which is 19.320 g/cm3. Fine gold, 24 karat. 18k yellow gold is nearer 15600.
How do you calculate the weight of a gold angle?
Volume = (A x t + (B - t) x t) x length, ignoring the root and toe radii. Multiply the volume by the density of gold, 19320 kg/m3, taking care that both are in the same unit system.
Can I enter dimensions in inches?
Yes. Each dimension field has its own unit selector, and inch, foot, millimetre, centimetre and metre entries are all converted exactly before anything is multiplied.
Where the numbers come from
- Densities are nominal room-temperature values for the grade named, drawn from the usual mill and handbook figures.