Henry Ernest Dudeney/Modern Puzzles/96 - Concerning a Cube

Modern Puzzles by Henry Ernest Dudeney: $96$

Concerning a Cube

What is the length in feet of the side of a cube when

$(1)$ the superficial area equals the cubical contents;

$(2)$ the superficial area equals the square of the cubical contents;

$(3)$ the square of the superficial area equals the cubical contents?

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $96$. -- Concerning a Cube
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $178$. Concerning a Cube