Cube
(the database of solved problems)
All the problems and solutions shown below were generated using the Cube Calculator.
| ID |
Problem |
Count |
| 51 | Find the side $ a $ of a cube if side $a = 36\, \text{mm}$, face diagonal $f = 36\, \text{mm}$, body diagonal $d = 24\, \text{mm}$ and area $A = 36\, \text{mm}^2$. | 2 |
| 52 | Find the side $ a $ of a cube if side $a = 20\, \text{mm}$. | 2 |
| 53 | Find the face area $ FA $ of a cube if side $a = 1$. | 2 |
| 54 | Find the body diagonal $ d $ of a cube if body diagonal $d = 71.25\, \text{in}$. | 2 |
| 55 | Find the area $ A $ of a cube if side $a = 1$. | 2 |
| 56 | Find the side $ a $ of a cube if side $a = 1500\, \text{mm}$. | 2 |
| 57 | Find the area $ A $ of a cube if side $a = 2$. | 2 |
| 58 | Find the side $ a $ of a cube if side $a = \sqrt{ 512 }\, \text{mm}$. | 2 |
| 59 | Find the area $ A $ of a cube if side $a = 3$. | 2 |
| 60 | Find the volume $ V $ of a cube if side $a = 0.63\, \text{in}$. | 2 |
| 61 | Find the side $ a $ of a cube if side $a = 1\, \text{mm}$, body diagonal $d = 1.732\, \text{mm}$ and face area $FA = 1\, \text{mm}^2$. | 2 |
| 62 | Find the face diagonal $ f $ of a cube if side $a = 2\, \text{in}$. | 2 |
| 63 | Find the side $ a $ of a cube if side $a = 12\, \text{in}$, face diagonal $f = 12\, \text{in}$ and body diagonal $d = 12\, \text{in}$. | 2 |
| 64 | Find the volume $ V $ of a cube if side $a = 224460$. | 2 |
| 65 | Find the side $ a $ of a cube if side $a = 10\, \text{ft}$, face diagonal $f = 5\, \text{ft}$, body diagonal $d = 10\, \text{ft}$, volume $V = 1000\, \text{ft}^3$, area $A = 12\, \text{ft}^2$ and face area $FA = 100\, \text{ft}^2$. | 2 |
| 66 | Find the volume $ V $ of a cube if side $a = 105$. | 2 |
| 67 | Find the side $ a $ of a cube if ???. | 2 |
| 68 | Find the volume $ V $ of a cube if side $a = 96$. | 2 |
| 69 | Find the volume $ V $ of a cube if side $a = 96.5$. | 2 |
| 70 | Find the volume $ V $ of a cube if side $a = 96.4$. | 2 |
| 71 | Find the side $ a $ of a cube if side $a = 2 \sqrt{ 6 }\, \text{m}$ and area $A = 144\, \text{cm}^2$. | 2 |
| 72 | Find the volume $ V $ of a cube if side $a = 96.1$. | 2 |
| 73 | Find the side $ a $ of a cube if side $a = 34\, \text{mm}$, body diagonal $d = 24\, \text{mm}$ and area $A = 20\, \text{mm}^2$. | 2 |
| 74 | Find the volume $ V $ of a cube if side $a = 96.02$. | 2 |
| 75 | Find the face diagonal $ f $ of a cube if side $a = 5\, \text{mm}$. | 2 |
| 76 | Find the body diagonal $ d $ of a cube if side $a = 73\, \text{in}$, area $A = 6570\, \text{in}^2$ and face area $FA = 4526\, \text{in}^2$. | 2 |
| 77 | Find the side $ a $ of a cube if side $a = 1\, \text{mm}$, face diagonal $f = 31\, \text{mm}$, body diagonal $d = 2\, \text{mm}$, volume $V = 50\, \text{mm}^3$, area $A = 13\, \text{mm}^2$ and face area $FA = 10\, \text{mm}^2$. | 2 |
| 78 | Find the side $ a $ of a cube if side $a = 8\, \text{km}$, face diagonal $f = 7\, \text{mm}$, body diagonal $d = 5\, \text{mm}$, volume $V = 2\, \text{mm}^3$, area $A = 6\, \text{mm}^2$ and face area $FA = 4\, \text{mm}^2$. | 2 |
| 79 | Find the body diagonal $ d $ of a cube if side $a = 5$. | 2 |
| 80 | Find the area $ A $ of a cube if volume $V = 4096$. | 2 |
| 81 | Find the side $ a $ of a cube if volume $V = 4998$. | 2 |
| 82 | Find the side $ a $ of a cube if area $A = 4998$. | 2 |
| 83 | Find the side $ a $ of a cube if side $a = 62$, body diagonal $d = 45$ and area $A = 98$. | 2 |
| 84 | Find the area $ A $ of a cube if volume $V = 10.6522$. | 2 |
| 85 | Find the side $ a $ of a cube if side $a = 555\, \text{mm}$, face diagonal $f = 3637\, \text{mm}$, body diagonal $d = 3773\, \text{mm}$, volume $V = 3738\, \text{mm}^3$, area $A = 999\, \text{mi}^2$ and face area $FA = 377\, \text{mm}^2$. | 2 |
| 86 | Find the side $ a $ of a cube if side $a = 2$. | 2 |
| 87 | 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 |
| 88 | Find the side $ a $ of a cube if side $a = 9$. | 2 |
| 89 | Find the side $ a $ of a cube if side $a = 7\, \text{mm}$ and body diagonal $d = 7\, \text{mm}$. | 2 |
| 90 | Find the side $ a $ of a cube if side $a = 64\, \text{mm}$, body diagonal $d = 64\, \text{mm}$ and area $A = 94\, \text{mm}^2$. | 2 |
| 91 | 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 |
| 92 | Find the body diagonal $ d $ of a cube if body diagonal $d = 71.25\, \text{in}$. | 2 |
| 93 | Find the side $ a $ of a cube if volume $V = 540\, \text{m}^3$. | 2 |
| 94 | 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 |
| 95 | Find the side $ a $ of a cube if side $a = 52\, \text{cm}$, body diagonal $d = 52\, \text{cm}$ and area $A = 64\, \text{cm}^2$. | 2 |
| 96 | Find the side $ a $ of a cube if side $a = 14\, \text{in}$. | 2 |
| 97 | Find the face diagonal $ f $ of a cube if side $a = 1\, \text{mm}$. | 2 |
| 98 | Find the side $ a $ of a cube if side $a = 8\, \text{km}$. | 2 |
| 99 | Find the volume $ V $ of a cube if side $a = 20\, \text{in}$, face diagonal $f = 30\, \text{in}$, body diagonal $d = 22\, \text{in}$, area $A = 24\, \text{mm}^2$ and face area $FA = 480\, \text{in}^2$. | 2 |
| 100 | Find the volume $ V $ of a cube if side $a = 20\, \text{in}$, face diagonal $f = 30\, \text{in}$, body diagonal $d = 22\, \text{in}$ and area $A = 24\, \text{mm}^2$. | 2 |