Advanced MathEasy–MediumRatio of sides from a ratio of cube volumes
Advanced Math practice question
The volume of one cube is 8 times the volume of a smaller cube. The side length of the larger cube is how many times the side length of the smaller cube?
Answer: 2
Volume scales with the cube of the side: k³ = 8 → k = 2.
Common wrong answers
- If you answered 4
- 4 is the ratio of the surface areas (2²).
- If you answered 8
- 8 is the volume ratio, not the side ratio.
- If you answered 2.67
- 2.67 is 8 ÷ 3, dividing instead of taking a cube root.
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- Easy–Medium
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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