Area and Volume quiz
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Which length times the base gives a parallelogram's area?
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More questions about Area and Volume
These visible examples show the question style. LearnClash turns the full topic into ranked duels and spaced repetition.
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How many square centimetres make one square metre?
Answer: 10,000
Why: Each side is 100 cm, so the area is 100 × 100; a cubic metre, by the same logic, holds a million cm³.
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How long is each side of a square one hectare in area?
Answer: 100 metres
Why: The name hectare means 100 ares, and one are is a square just 10 metres on each side.
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Which shape has a finite volume but an infinite surface area?
Answer: Gabriel's horn
Why: Made by spinning the curve y = 1/x from x = 1 around the x-axis, the endless horn holds exactly π cubic units.
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Which fraction of base × height is a triangle's area?
Answer: One half
Why: A triangle leaning far to one side has exactly the same area as an upright one with the same base and height.
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About what share of a box do round cans in a square grid fill?
Answer: About 79%
Why: Staggering alternate rows, honeycomb style, lets circles cover about 91% of a large area instead.
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Which theorem extends the Pythagorean theorem to 3D face areas?
Answer: De Gua's theorem
Why: For a tetrahedron with three perpendicular faces, the base area squared equals the sum of the other squared face areas.
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