Pyramid
(the database of solved problems)
All the problems and solutions shown below were generated using the Pyramid Calculator.
| ID |
Problem |
Count |
| 151 | Find the side $ a $ of a pyramid if side $a = 4\, \text{mm}$ and slant height $s = 4\, \text{mm}$. | 4 |
| 152 | Find the lateral area $ L $ of a pyramid if height $h = 4\, \text{mm}$ and slant height $s = 5\, \text{mm}$. | 4 |
| 153 | Find the height $ h $ of a pyramid if side $a = \sqrt{ 3 }\, \text{mm}$, slant height $s = \frac{\sqrt{ 17 }}{ 2 }\, \text{mm}$ and lateral edge $e = \sqrt{ 5 }\, \text{mm}$. | 4 |
| 154 | Find the area $ A $ of a pyramid if side $a = 6 \sqrt{ 2 }\, \text{mm}$ and lateral edge $e = 10\, \text{mm}$. | 4 |
| 155 | Find the lateral area $ L $ of a pyramid if side $a = 6 \sqrt{ 2 }\, \text{mm}$ and lateral edge $e = 10\, \text{mm}$. | 4 |
| 156 | Find the height $ h $ of a pyramid if side $a = 6 \sqrt{ 2 }\, \text{mm}$ and lateral edge $e = 10\, \text{mm}$. | 4 |
| 157 | Find the lateral edge $ e $ of a pyramid if ???. | 4 |
| 158 | Find the slant height $ s $ of a pyramid if side $a = 6\, \text{mm}$ and lateral surface $L = 60\, \text{mm}^2$. | 4 |
| 159 | Find the height $ h $ of a pyramid if side $a = 6\, \text{mm}$ and lateral surface $L = 60\, \text{mm}^2$. | 4 |
| 160 | Find the side $ a $ of a pyramid if side $a = 12\, \text{cm}$ and height $h = 12\, \text{cm}$. | 4 |
| 161 | Find the area $ A $ of a pyramid if side $a = 6\, \text{mm}$ and height $h = 4\, \text{mm}$. | 4 |
| 162 | Find the lateral area $ L $ of a pyramid if side $a = 6\, \text{mm}$ and height $h = 4\, \text{mm}$. | 4 |
| 163 | Find the side $ a $ of a pyramid if side $a = 6\, \text{mm}$ and height $h = 4\, \text{mm}$. | 4 |
| 164 | Find the side $ a $ of a pyramid if side $a = 8\, \text{mm}$ and height $h = 9\, \text{mm}$. | 4 |
| 165 | Find the lateral edge $ e $ of a pyramid if side $a = 20\, \text{mm}$ and height $h = 10\, \text{mm}$. | 4 |
| 166 | Find the area $ A $ of a pyramid if side $a = 9\, \text{cm}$ and height $h = 7.8\, \text{cm}$. | 4 |
| 167 | Find the lateral edge $ e $ of a pyramid if side $a = 9\, \text{cm}$ and height $h = 7.8\, \text{cm}$. | 4 |
| 168 | Find the base area $ B $ of a pyramid if side $a = 9\, \text{cm}$ and height $h = 7.8\, \text{cm}$. | 4 |
| 169 | Find the side $ a $ of a pyramid if height $h = 18\, \text{mm}$ and total surface $A = 80\, \text{mm}^2$. | 4 |
| 170 | Find the lateral area $ L $ of a pyramid if side $a = 9\, \text{cm}$ and height $h = 7.8\, \text{cm}$. | 4 |
| 171 | Find the side $ a $ of a pyramid if height $h = 35\, \text{mm}$ and base radius $r = 12\, \text{mm}$. | 4 |
| 172 | Find the side $ a $ of a pyramid if side $a = 9\, \text{cm}$ and height $h = 7.8\, \text{cm}$. | 4 |
| 173 | Find the lateral edge $ e $ of a pyramid if height $h = 2\, \text{m}$ and base radius $r = 1\, \text{m}$. | 4 |
| 174 | Find the side $ a $ of a pyramid if side $a = 169\, \text{m}$. | 4 |
| 175 | Find the height $ h $ of a pyramid if side $a = 169\, \text{m}$. | 4 |
| 176 | Find the side $ a $ of a pyramid if side $a = 8\, \text{mm}$ and slant height $s = 7\, \text{cm}$. | 4 |
| 177 | Find the side $ a $ of a pyramid if side $a = 7\, \text{mm}$, height $h = 11.1\, \text{cm}$ and base radius $r = 4.8\, \text{cm}$. | 4 |
| 178 | Find the side $ a $ of a pyramid if slant height $s = 18\, \text{cm}$ and total surface $A = 396\, \text{cm}^2$. | 4 |
| 179 | Find the side $ a $ of a pyramid if height $h = 10\, \text{ft}$. | 4 |
| 180 | Find the side $ a $ of a pyramid if height $h = 10\, \text{mm}$ and base diagonal $d = 10\, \text{mm}$. | 4 |
| 181 | Find the lateral edge $ e $ of a pyramid if height $h = 3\, \text{ft}$ and base radius $r = 4\, \text{ft}$. | 4 |
| 182 | Find the lateral edge $ e $ of a pyramid if side $a = 6\, \text{cm}$ and height $h = 10\, \text{cm}$. | 4 |
| 183 | Find the lateral area $ L $ of a pyramid if side $a = 12\, \text{mm}$ and slant height $s = 10\, \text{mm}$. | 4 |
| 184 | Find the side $ a $ of a pyramid if side $a = 10\, \text{mm}$ and lateral edge $e = 20.58\, \text{mm}$. | 4 |
| 185 | Find the lateral edge $ e $ of a pyramid if side $a = 500\, \text{mm}$, height $h = 150\, \text{mm}$ and base diagonal $d = 500\, \text{mm}$. | 4 |
| 186 | Find the lateral edge $ e $ of a pyramid if side $a = 500\, \text{mm}$ and height $h = 150\, \text{mm}$. | 4 |
| 187 | Find the side $ a $ of a pyramid if side $a = 4.2\, \text{cm}$ and lateral edge $e = 15\, \text{cm}$. | 4 |
| 188 | Find the height $ h $ of a pyramid if volume $V = 45\, \text{cm}^3$ and base area $B = 9\, \text{cm}^2$. | 4 |
| 189 | Find the volume $ V $ of a pyramid if side $a = 20\, \text{mm}$ and slant height $s = 26\, \text{mm}$. | 4 |
| 190 | Find the side $ a $ of a pyramid if side $a = 1380\, \text{mm}$ and height $h = 1380\, \text{mm}$. | 4 |
| 191 | Find the area $ A $ of a pyramid if side $a = 8\, \text{mm}$ and height $h = 10\, \text{mm}$. | 4 |
| 192 | Find the side $ a $ of a pyramid if side $a = 7\, \text{mm}$, height $h = 7\, \text{mm}$, slant height $s = 4\, \text{mm}$, lateral edge $e = 4\, \text{mm}$, base radius $r = 3\, \text{mm}$, base diagonal $d = 3\, \text{mm}$, volume $V = 8\, \text{mm}^3$, total surface $A = 8\, \text{mm}^2$, base area $B = 5\, \text{mm}^2$ and lateral surface $L = 5\, \text{mm}^2$. | 4 |
| 193 | Find the side $ a $ of a pyramid if side $a = 6\, \text{mm}$, height $h = 2\, \text{mm}$, slant height $s = 2\, \text{mm}$, lateral edge $e = 2\, \text{mm}$, base radius $r = 5\, \text{mm}$, base diagonal $d = 4\, \text{mm}$, volume $V = 8\, \text{mm}^3$, total surface $A = 20\, \text{mm}^2$, base area $B = 1\, \text{mm}^2$ and lateral surface $L = 25\, \text{mm}^2$. | 4 |
| 194 | Find the height $ h $ of a pyramid if side $a = 4\, \text{in}$ and slant height $s = 4\, \text{in}$. | 4 |
| 195 | Find the side $ a $ of a pyramid if side $a = 26\, \text{ft}$, slant height $s = 20\, \text{ft}$ and base area $B = 676\, \text{ft}^2$. | 4 |
| 196 | Find the area $ A $ of a pyramid if side $a = 11\, \text{mm}$ and slant height $s = 20.7\, \text{mm}$. | 4 |
| 197 | Find the slant height $ s $ of a pyramid if side $a = 1.83\, \text{m}$ and height $h = 1.3\, \text{m}$. | 4 |
| 198 | Find the side $ a $ of a pyramid if side $a = 17\, \text{in}$ and height $h = 12\, \text{in}$. | 4 |
| 199 | Find the side $ a $ of a pyramid if side $a = 4\, \text{mm}$ and slant height $s = 5\, \text{cm}$. | 4 |
| 200 | Find the side $ a $ of a pyramid if height $h = 9\, \text{in}$ and volume $V = 57\, \text{in}^3$. | 4 |
