Pyramid

(the database of solved problems)

All the problems and solutions shown below were generated using the Pyramid Calculator.

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ID	Problem	Count
101	Find the slant height $ s $ of a pyramid if side $a = 4\, \text{mm}$ and height $h = 3\, \text{mm}$.	5
102	Find the slant height $ s $ of a pyramid if height $h = 1.5\, \text{mm}$, slant height $s = 2\, \text{mm}$ and base area $B = 4\, \text{mm}^2$.	5
103	Find the lateral area $ L $ of a pyramid if side $a = 9\, \text{cm}$ and height $h = 7.8\, \text{cm}$.	5
104	Find the area $ A $ of a pyramid if side $a = 4$ and slant height $s = 10$.	5
105	Find the lateral edge $ e $ of a pyramid if side $a = 6\, \text{mm}$ and lateral surface $L = 60\, \text{mm}^2$.	5
106	Find the side $ a $ of a pyramid if height $h = 4\, \text{mm}$ and slant height $s = 5\, \text{mm}$.	5
107	Find the lateral edge $ e $ of a pyramid if side $a = 1.83\, \text{m}$ and height $h = 1.3\, \text{m}$.	5
108	Find the volume $ V $ of a pyramid if side $a = 12$ and height $h = 8$.	5
109	Find the side $ a $ of a pyramid if side $a = 100\, \text{mm}$ and lateral edge $e = 1618\, \text{mm}$.	5
110	Find the side $ a $ of a pyramid if side $a = 60\, \text{cm}$ and height $h = 10\, \text{cm}$.	5
111	Find the lateral edge $ e $ of a pyramid if side $a = 4\, \text{mm}$, height $h = 3\, \text{mm}$, slant height $s = \sqrt{ 21 }\, \text{mm}$ and volume $V = 54 \sqrt{ 3 }\, \text{mm}^3$.	5
112	Find the lateral edge $ e $ of a pyramid if side $a = 6\, \text{mm}$ and height $h = 4\, \text{mm}$.	5
113	Find the side $ a $ of a pyramid if side $a = 7$ and height $h = 5$.	5
114	Find the height $ h $ of a pyramid if side $a = 400\, \text{mm}$.	5
115	Find the slant height $ s $ of a pyramid if side $a = 1.83\, \text{m}$.	5
116	Find the height $ h $ of a pyramid if volume $V = 45\, \text{cm}^3$ and base area $B = 9\, \text{mm}^2$.	5
117	Find the side $ a $ of a pyramid if side $a = 32\, \text{mm}$ and slant height $s = 34\, \text{cm}$.	5
118	Find the height $ h $ of a pyramid if side $a = 1.2\, \text{m}$ and lateral edge $e = 1.2\, \text{m}$.	5
119	Find the volume $ V $ of a pyramid if height $h = 18\, \text{mm}$ and total surface $A = 80\, \text{mm}^2$.	5
120	Find the volume $ V $ of a pyramid if side $a = 6\, \text{mm}$ and height $h = 4\, \text{mm}$.	5
121	Find the volume $ V $ of a pyramid if side $a = 80\, \text{in}$ and height $h = 18\, \text{in}$.	5
122	Find the volume $ V $ of a pyramid if height $h = 4\, \text{mm}$ and slant height $s = 5\, \text{mm}$.	5
123	Find the side $ a $ of a pyramid if height $h = 25\, \text{mm}$ and base area $B = 81\, \text{mm}^2$.	5
124	Find the volume $ V $ of a pyramid if side $a = 6 \sqrt{ 2 }\, \text{mm}$ and lateral edge $e = 10\, \text{mm}$.	5
125	Find the lateral edge $ e $ of a pyramid if height $h = 4\, \text{mm}$ and slant height $s = 5\, \text{mm}$.	5
126	Find the side $ a $ of a pyramid if slant height $s = 18\, \text{cm}$ and base area $B = 396\, \text{cm}^2$.	5
127	Find the side $ a $ of a pyramid if side $a = 3\, \text{mm}$ and height $h = 4\, \text{mm}$.	5
128	Find the volume $ V $ of a pyramid if side $a = 3.5214\, \text{mm}$ and height $h = 5\, \text{mm}$.	5
129	Find the area $ A $ of a pyramid if side $a = 4\, \text{mm}$ and slant height $s = 5\, \text{mm}$.	5
130	Find the height $ h $ of a pyramid if side $a = 6\, \text{mm}$ and slant height $s = 5\, \text{mm}$.	5
131	Find the side $ a $ of a pyramid if side $a = 2\, \text{mm}$, slant height $s = 8\, \text{cm}$, lateral edge $e = 4\, \text{cm}$, total surface $A = 4\, \text{cm}$ and base area $B = 4\, \text{cm}$.	5
132	Find the volume $ V $ of a pyramid if side $a = 2.05\, \text{mm}$ and height $h = 13\, \text{mm}$.	5
133	Find the side $ a $ of a pyramid if side $a = 3.5214\, \text{mm}$ and height $h = 5\, \text{mm}$.	5
134	Find the side $ a $ of a pyramid if side $a = 22\, \text{mm}$ and slant height $s = 23\, \text{mm}$.	5
135	Find the slant height $ s $ of a pyramid if side $a = 161\, \text{mm}$ and height $h = 70\, \text{mm}$.	5
136	Find the side $ a $ of a pyramid if side $a = 6\, \text{mm}$, height $h = 6\, \text{mm}$, slant height $s = 2\, \text{mm}$, lateral edge $e = 2\, \text{mm}$, base radius $r = 5\, \text{mm}$, base diagonal $d = 5\, \text{mm}$, volume $V = 8\, \text{mm}^3$, total surface $A = 8\, \text{mm}^2$, base area $B = 1\, \text{mm}^2$ and lateral surface $L = 1\, \text{mm}^2$.	5
137	Find the height $ h $ of a pyramid if side $a = 12\, \text{cm}$ and volume $V = 720\, \text{mm}^3$.	5
138	Find the area $ A $ of a pyramid if height $h = 4\, \text{mm}$ and slant height $s = 5\, \text{mm}$.	5
139	Find the side $ a $ of a pyramid if side $a = 8\, \text{mm}$ and slant height $s = 16\, \text{mm}$.	5
140	Find the height $ h $ of a pyramid if side $a = 6\, \text{mm}$ and lateral surface $L = 60\, \text{mm}^2$.	4
141	Find the height $ h $ of a pyramid if base radius $r = 5$ and total surface $A = 125$.	4
142	Find the height $ h $ of a pyramid if base diagonal $d = 5$ and total surface $A = 125$.	4
143	Find the side $ a $ of a pyramid if side $a = 12\, \text{cm}$ and height $h = 12\, \text{cm}$.	4
144	Find the area $ A $ of a pyramid if slant height $s = 6.1$ and base area $B = 40.96$.	4
145	Find the area $ A $ of a pyramid if side $a = 5$ and slant height $s = 4$.	4
146	Find the lateral edge $ e $ of a pyramid if ???.	4
147	Find the lateral area $ L $ of a pyramid if side $a = 6\, \text{mm}$ and height $h = 4\, \text{mm}$.	4
148	Find the side $ a $ of a pyramid if height $h = 18\, \text{mm}$ and total surface $A = 80\, \text{mm}^2$.	4
149	Find the slant height $ s $ of a pyramid if side $a = 6\, \text{mm}$ and lateral surface $L = 60\, \text{mm}^2$.	4
150	Find the volume $ V $ of a pyramid if side $a = 10$ and slant height $s = 12$.	4