Cube
(the database of solved problems)
All the problems and solutions shown below were generated using the Cube Calculator.
| ID |
Problem |
Count |
| 1 | Find the side $ a $ of a cube if ???. | 219 |
| 2 | Find the side $ a $ of a cube if side $a = 12\, \text{dm}$. | 69 |
| 3 | Find the side $ a $ of a cube if ???. | 47 |
| 4 | Find the side $ a $ of a cube if side $a = 12\, \text{mm}$. | 20 |
| 5 | Find the side $ a $ of a cube if side $a = 12\, \text{km}$. | 15 |
| 6 | Find the side $ a $ of a cube if side $a = 12$. | 15 |
| 7 | Find the side $ a $ of a cube if side $a = 0.15\, \text{mm}$ and face diagonal $f = 0.15\, \text{cm}$. | 13 |
| 8 | Find the side $ a $ of a cube if side $a = 5\, \text{mm}$. | 11 |
| 9 | Find the side $ a $ of a cube if side $a = 5$. | 9 |
| 10 | Find the body diagonal $ d $ of a cube if side $a = 12$. | 9 |
| 11 | Find the side $ a $ of a cube if side $a = 2\, \text{in}$. | 7 |
| 12 | Find the area $ A $ of a cube if side $a = 223331\, \text{mm}$. | 6 |
| 13 | Find the area $ A $ of a cube if side $a = 12$. | 6 |
| 14 | Find the side $ a $ of a cube if body diagonal $d = 1\, \text{mm}$. | 6 |
| 15 | Find the side $ a $ of a cube if side $a = 8$. | 5 |
| 16 | Find the side $ a $ of a cube if area $A = 144\, \text{mm}^2$. | 5 |
| 17 | Find the face diagonal $ f $ of a cube if side $a = 9$. | 5 |
| 18 | Find the volume $ V $ of a cube if area $A = 124.03\, \text{mm}^2$. | 4 |
| 19 | Find the body diagonal $ d $ of a cube if side $a = 2\, \text{in}$. | 4 |
| 20 | Find the side $ a $ of a cube if side $a = 44281\, \text{mm}$, face diagonal $f = 913\, \text{mm}$, body diagonal $d = 3\, \text{mm}$, volume $V = 3\, \text{mm}^3$, area $A = 3\, \text{mm}^2$ and face area $FA = 9\, \text{mm}^2$. | 4 |
| 21 | Find the area $ A $ of a cube if volume $V = 729$. | 4 |
| 22 | Find the side $ a $ of a cube if side $a = 4$. | 4 |
| 23 | Find the side $ a $ of a cube if side $a = 5\, \text{mm}$. | 4 |
| 24 | Find the volume $ V $ of a cube if area $A = 122.03\, \text{mm}^2$. | 4 |
| 25 | Find the side $ a $ of a cube if side $a = 0.15$ and face diagonal $f = 0.15$. | 4 |
| 26 | Find the volume $ V $ of a cube if side $a = 4$. | 3 |
| 27 | Find the side $ a $ of a cube if side $a = 40\, \text{mm}$. | 3 |
| 28 | Find the area $ A $ of a cube if side $a = 2.5$. | 3 |
| 29 | Find the side $ a $ of a cube if ???. | 3 |
| 30 | Find the body diagonal $ d $ of a cube if side $a = 73\, \text{in}$ and face area $FA = 4526\, \text{in}^2$. | 3 |
| 31 | Find the side $ a $ of a cube if face area $FA = 1\, \text{mm}^2$. | 3 |
| 32 | Find the volume $ V $ of a cube if side $a = 96.5$. | 2 |
| 33 | Find the volume $ V $ of a cube if side $a = 224460$. | 2 |
| 34 | Find the side $ a $ of a cube if side $a = 9$. | 2 |
| 35 | Find the volume $ V $ of a cube if side $a = 105$. | 2 |
| 36 | Find the volume $ V $ of a cube if side $a = 96$. | 2 |
| 37 | Find the face area $ FA $ of a cube if side $a = 1$. | 2 |
| 38 | Find the side $ a $ of a cube if volume $V = 540\, \text{m}^3$. | 2 |
| 39 | Find the side $ a $ of a cube if side $a = 4\, \text{mm}$, face diagonal $f = 4\, \text{mm}$, body diagonal $d = 4\, \text{mm}$, volume $V = 4\, \text{mm}^3$, area $A = 4\, \text{mm}^2$ and face area $FA = 4\, \text{mm}^2$. | 2 |
| 40 | Find the side $ a $ of a cube if side $a = 45$, face diagonal $f = 38$, body diagonal $d = 45$, volume $V = 45$, area $A = 45$ and face area $FA = 45$. | 2 |
| 41 | Find the side $ a $ of a cube if side $a = 45$, face diagonal $f = 45$, body diagonal $d = 45$, volume $V = 45$, area $A = 45$ and face area $FA = 45$. | 2 |
| 42 | Find the side $ a $ of a cube if side $a = 45$, face diagonal $f = 45$, body diagonal $d = 45$, volume $V = 22$, area $A = 34$ and face area $FA = 45$. | 2 |
| 43 | Find the side $ a $ of a cube if body diagonal $d = 7$. | 2 |
| 44 | Find the side $ a $ of a cube if side $a = 2$. | 2 |
| 45 | Find the side $ a $ of a cube if side $a = 2$, face diagonal $f = 3$, body diagonal $d = 5$, volume $V = 1$, area $A = 6$ and face area $FA = 4$. | 2 |
| 46 | Find the area $ A $ of a cube if side $a = 6$. | 2 |
| 47 | Find the side $ a $ of a cube if side $a = 3\, \text{mm}$, face diagonal $f = 3\, \text{mm}$, body diagonal $d = 3\, \text{mm}$, volume $V = 3\, \text{mm}^3$, area $A = 3\, \text{mm}^2$ and face area $FA = 3\, \text{mm}^2$. | 2 |
| 48 | Find the side $ a $ of a cube if side $a = 1$. | 2 |
| 49 | Find the volume $ V $ of a cube if side $a = 8$. | 2 |
| 50 | Find the volume $ V $ of a cube if area $A = 96$. | 2 |