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Cube Quiz

Cube Quiz invites you to discover the unique properties of cubes that go beyond simple geometry. Here’s an interesting fact: the sugar cubes we drop into our coffee were first invented in 1843 by a Swiss man named Jakub Krystof Rad. Before that, sugar came in large blocks, and people had to chip off pieces with special tools. His simple idea of small, equally-sized cubes made life much easier. This same concept of equal dimensions is what makes solving cube problems so satisfying. Learn about volume, surface area, and the hidden math behind everyday objects with these cube questions. Explore the elegance of this perfect geometric form and see just how much you really know.

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Cube Quiz

Cube

If the length, width, and height of a cuboid are all doubled, by what factor does its volume increase?

A cube is cut into 8 smaller cubes of equal size. By what factor does the total surface area increase?

If the surface area of a cube is 150 cm², what is its volume?

If the sum of the lengths of all the edges of a cube is 60 cm, what is its surface area?

If the ratio of the height, width, and length of a cuboid is 1:2:3 and its volume is 162 cm³, what is the height?

If a cube is painted on all its faces and then cut into 27 smaller cubes of equal size, how many cubes have exactly two faces painted?

If a cube's volume is increased by 800%, by what factor is its edge length increased?

A cube is submerged in water, displacing 27 cm³ of water. What is the side length of the cube?

If a cube's surface area is reduced by 75%, what happens to its side length?

A cube is melted and recast into smaller cubes of one-third the original side length. How many smaller cubes are formed?

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Sample Questions from This Quiz

  1. A cube is cut into 8 smaller cubes of equal size. By what factor does the total surface area increase?
  2. If the sum of the lengths of all the edges of a cube is 60 cm, what is its surface area?
  3. If a cube is painted on all its faces and then cut into 27 smaller cubes of equal size, how many cubes have exactly two faces painted?
  4. A cube is submerged in water, displacing 27 cm³ of water. What is the side length of the cube?
  5. A cube is melted and recast into smaller cubes of one-third the original side length. How many smaller cubes are formed?

Try the full quiz and see how many of these you can answer!

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