Validating Cuboid Dimensions: Identifying Possible Length, Width, and Height Combinations

Cuboid Properties with Unrestricted Dimensions

Which dimensions may represent a cuboid?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Which dimensions may represent a cuboid?

2

Step-by-step solution

There is no limitation or rule regarding the dimensions that a cuboid can have.

Therefore the correct answer is D.

3

Final Answer

All of the above.

Key Points to Remember

Essential concepts to master this topic
  • Definition: A cuboid can have any positive length, width, and height
  • Examples: 4×2×2, 9×7×4, and 7×7×7 are all valid cuboids
  • Verification: Check that all three dimensions are positive real numbers ✓

Common Mistakes

Avoid these frequent errors
  • Thinking cuboids must follow special dimension rules
    Don't assume cuboids need equal sides or specific ratios = rejecting valid answers! This confuses cuboids with cubes or other restricted shapes. Always remember that cuboids can have any three positive dimensions.

Practice Quiz

Test your knowledge with interactive questions

Identify the correct 2D pattern of the given cuboid:

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FAQ

Everything you need to know about this question

What's the difference between a cuboid and a cube?

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A cube is a special type of cuboid where all three dimensions are equal (like 7×7×7). A cuboid can have any three positive dimensions, equal or different!

Are there any restrictions on cuboid dimensions?

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The only requirement is that all three dimensions must be positive numbers. They can be whole numbers, decimals, or fractions - there are no other limits!

Can a cuboid have dimensions like 0.5×3×10?

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Absolutely! Cuboids can have any positive dimensions, including decimals and mixed sizes. As long as length, width, and height are all greater than zero, it's a valid cuboid.

Why is 'All of the above' the correct answer?

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Because every option given represents valid cuboid dimensions. Since there are no mathematical restrictions on cuboid dimensions (other than being positive), all the choices are correct!

What would make dimensions invalid for a cuboid?

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Only negative numbers or zero would be invalid. For example, dimensions like -2×3×4 or 0×5×8 cannot represent real cuboids because physical objects can't have negative or zero dimensions.

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