Question
The total surface area of a square-based right pyramid
is 1536 m², of which 37.5% is the area of the base of the pyramid. What is the volume (in mᶟ) of this pyramid?Solution
Total surface area = 1536 m² Base area = 37.5% of 1536 = 576 m² Side of bases = √576 = 24 m Lateral surface area = 1536-576 = 960 m² Slant height = 2x24x L= 960 L = 20 m L2=h²+ (24/2)2  400 =h² + + 144 h2 =400-144=256 h = 16 m Volume = 1/3 ×area of base ×h =1/3 ×576×16 =3072m3.
What will come in place of the question mark (?) in the following series?
22, 28, 37, ?, 72, 102
99, 101, 107, 131, 251, ?
18Â Â Â 19Â Â Â 34Â Â Â 111Â Â Â Â 428Â Â Â Â 2165Â Â Â Â ?
...72, 79, 100, 135, 184, ?
51    52    48     57    ?      66      30
...135, 148, ?, 184, 207, 236
13, 29, 65, 129, ?, 373
96 89 ? 90 94 91
...Find the missing number, in the given number series.
360, 322, ?, 252, 220
12   18   31   51   ?   112
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