The height of a regular quadrangular pyramid is equal to the root of 8 cm, and the lateral rib is inclined to the base
| December 7, 2020 | education
The height of a regular quadrangular pyramid is equal to the root of 8 cm, and the lateral rib is inclined to the base plane at an angle of 45 °. Find the lateral surface area of this pyramid.
angle ЕАН = 45 °, angle ЕНА = 90 ° => ЕН = АН АН = 1/2 * АС АС = 8v2 => AN = 4v2 cm = ЕН-height V = 1/3 * h * a ^ 2 V = ( 1/3) * 4v2 * 8 * 8 = (256v2) / 3 cm3
answer: (256v2) / 3 cm3
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