WHICH WEIGHS MORE?

A set of balancing scales. One side has feathers and the other has a pile of gold ingots.

WHICH WEIGHS MORE?

This is a classic riddle. Which weighs more?

Math Teasers are meant for thinking outside of the box. They require more logical thinking than being a math whiz-kid. Think creatively!

Which weighs more 16 ounces of feathers or a pound of solid gold?

 

 


Actually, 16 ounces of feathers weigh more than one pound of gold.

This sounds like a trick, but it comes down to the two different measurement systems used for “common” items versus “precious metals.”

  1. The Feather Weight (Avoirdupois System)

Feathers, like most groceries and household items, are measured using the Avoirdupois system.

  • 1 pound = 16 ounces
  • 1 ounce ≈ 28.35 grams
  • Total weight of 16 oz. feathers453.59 grams
  1. The Gold Weight (Troy System)

Gold and other precious metals are measured in Troy weight. A “pound” of gold is significantly lighter than a standard pound.

  • 1 troy pound = 12 troy ounces
  • 1 troy ounce ≈ 31.10 grams
  • Total weight of 1 lb. gold373.24 grams

Comparison Table

Item System Mass in Grams
16 oz. Feathers Avoirdupois 453.59g
1 lb. Gold Troy 373.24g

 The Verdict: Even though 16 ounces sounds like it should equal one pound, the 16 ounces of feathers (Avoirdupois) outweigh the pound of gold (Troy) by about 80 grams.

Cards describing the difference between the measuring of gold weight vs the weight of measuring goods.


Most “which weighs more” riddles rely on our brains jumping to conclusions about density or the specific way materials are measured.

Here are a few other classics that often trip people up:

  1. The Classic: A Pound of Lead vs. A Pound of Feathers

This is the most famous version of the riddle.

The Trap: Your brain thinks of lead as “heavy” and feathers as “light.”

The Answer: They weigh the same. A pound is a pound, regardless of what the material is. The only difference is the volume—you would need a giant mountain of feathers to equal a small brick of lead.

  1. The Liquid Volume: A Pound of Water vs. A Pound of Oil

The Trap: Because oil floats on water, people often assume it’s “lighter.”

The Answer: Again, one pound is one pound. However, because oil is less dense than water, one pound of oil will take up more space (volume) than one pound of water.

  1. The”Gross”vs.”Net”Weight: A Full Honey Jar vs. An Empty One

The Riddle: If a jar of honey weighs 2 pounds, and you eat half the honey, does it weigh 1 pound?

The Trap: Forgetting the weight of the container.

The Answer: No. It will weigh more than 1 pound because the glass jar itself has its own weight that doesn’t change just because the honey is gone.

  1. The “Weight on the Moon” Trick

The Riddle: Which weighs more: 10 kilograms of gold on Earth or 10 kilograms of gold on the Moon?

The Trap: Confusing mass with weight.

The Answer: The 10 kg on Earth weighs more. While the mass (the amount of matter) is identical in both places, weight is a measure of gravitational pull. Since Earth’s gravity is about six times stronger than the Moon’s, the gold on Earth would feel much heavier.

  1. The “Ship” Riddle

The Riddle: Which weighs more: A ship that is empty, or a ship that is filled with Styrofoam?

The Trap: Thinking Styrofoam is “weightless.”

The Answer: The ship filled with Styrofoam weighs more. Even though Styrofoam is incredibly light, it still has mass. Adding anything with mass to an empty vessel will increase the total weight.An empty set of balancing scales.


Which of these measurement tricks do you find the most confusing?


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