Daily Math Puzzle: 2026-07-08
Sharpen your mathematical thinking with fresh puzzles delivered daily.
🧩 New Puzzle Every Day — Free
2026-07-08
As astronaut Emma navigates through a newly discovered asteroid field, she encounters a peculiar asteroid shaped like a perfect cube. The asteroid has a side length of 10 meters. Emma's spacecraft is equipped with a laser cutter that can slice through the asteroid, but it can only cut along a straight line. Emma wants to cut the asteroid in such a way that she maximizes the surface area of the newly exposed faces. She can orient the cut in any direction. What is the maximum surface area of the newly exposed faces that Emma can achieve with a single cut?
🔥 Build your streak — solve daily in the app
Solution
500 square meters — To maximize the surface area of the newly exposed faces, Emma needs to make a cut that exposes the largest possible area. Since the asteroid is a perfect cube with a side length of 10 meters, cutting it along a plane that is perpendicular to one of its faces and passes through the center of the cube will expose two faces of 10x10 meters each, but this isn't possible with a single cut as it describes cutting the cube into two equal parts without exposing new faces fully. However, if Emma cuts the cube diagonally through its center, she will expose two new rectangular faces. Each of these faces will have dimensions of 10 meters by 10*sqrt(2) meters (diagonal of a face of the cube). The area of one such face is 10 * 10 * sqrt(2) = 100 * sqrt(2) square meters. Since there are two such faces exposed by the cut, the total new surface area exposed is 2 * 100 * sqrt(2) = 200 * sqrt(2) square meters. Calculating 200 * sqrt(2) gives approximately 282.84 square meters. However, looking at the provided choices and re-evaluating for a straightforward solution: if Emma cuts the asteroid into two equal halves (which would be the most straightforward maximization, even though it doesn't directly match the calculated scenario), she would expose two faces of 10x10 meters. So, 2 * (10 * 10) = 200 square meters.
Never Miss a Daily Puzzle
Download TestPrepMagic and get push notifications for each day's puzzle. Build daily streaks and track your improvement.
Download Free AppRelated Puzzles
Math Puzzle: 2026-07-07
On the fabled Isle of Xylos, a treasure map leads you to two distinct landmarks: the 'Ancient Oak' and the 'Whispering Stream'. The map explicitly states: 'From the Ancient Oak, walk 100 paces due North to find the Whispering Stream.' The final clue to the treasure's location reads: 'The buried chest lies at a spot that is precisely 50 paces due East of the Ancient Oak, AND precisely 50 paces due West of the Whispering Stream.' Where should you dig for the treasure?
Math Puzzle: 2026-07-06
In the treacherous Sunken Temple, you discover a series of ancient glowing crystals that mark the safe passage through a deadly labyrinth. A cryptic inscription reads: 'Observe the light, for it reveals the way forward.' The first crystal glows with a single pulse. The second emits two pulses. The third flashes three times. The fourth pulses five times. The fifth shines with seven pulses. If you are to find the next safe crystal, how many pulses will it emit?
Math Puzzle: 2026-07-05
Chef Emma is preparing a special sauce for her restaurant. She needs to mix a sequence of ingredients in a specific order. The sequence is based on a pattern: salt, pepper, garlic, ginger, salt, pepper, ?, ?. What comes next in the sequence?