Question

Объём правильной пятиугольной призмы равен 72 см^3, высота 12 см. Найти площадь основания.

Answer 1

Объём призмы равен произведению площади основания на высоту,
V=S(осн.)*Н ⇒ S(осн.)=V/H= 72/12=6(см²)-искомая площадь основания

Answer 2

Calculation of the Base Area of a Pentagonal Prism

To find the base area of a pentagonal prism, we need to use the given information: the volume of the prism is 72 cm³, and the height is 12 cm.

Let's denote the base area of the prism as A.

The formula to calculate the volume of a prism is given by:

Volume = Base Area × Height

Substituting the given values, we have:

72 cm³ = A × 12 cm

To find the base area, we can rearrange the equation:

A = 72 cm³ / 12 cm

Simplifying the equation:

A = 6 cm²

Therefore, the base area of the pentagonal prism is 6 cm².

Please let me know if there is anything else I can help you with!