Question

висота правильної чотирикутної піраміди дорівнює 3 см. Бічна грань утворює кут 30 градусів із площиною основи .знайти обєм піраміди .

Answer 1

Ответ:
V=108см³

Решение:
tg∠FKO=FO/OK
tg30°=1/√3
1/√3=3/OK
OK=3√3см.
АD=2*OK=2*3√3=6√3см
Sосн=АD²=(6√3)²=108см²
V=⅓*Sосн*h=108*3/3=108см³

Answer 2

Calculation of the Volume of a Pyramid

To find the volume of a pyramid, we need to know the height and the area of the base. In this case, we are given that the height of the pyramid is 3 cm and that the lateral face forms a 30-degree angle with the base plane. However, the area of the base is not provided.

To calculate the volume of the pyramid, we need to determine the area of the base. Without this information, it is not possible to provide an accurate answer. Could you please provide the area of the base of the pyramid? Once we have that information, we can proceed with the calculation.