Question

Диагональ правильной четырехугольной призмы равна 10 см а ее высота равна 6.найдите боковую поверхность призмы

Answer 1

Основание призмы - квадрат.
Нужен прямоугольный треугольник, у которого
гипотенуза = 10см, катет = 6см.
Ищем второй катет по т. Пифагора( это диагональ квадрата)
х² = 100 - 36 = 64
х= 8
Теперь нужен прямоугольный треугольник с гипотенузой = 8 и катетами ( стороны квадрата)
64 = у² + у²
2у² = 64
у² = 32
у = 4√2
Sбок. = Росн * H = 4√2*4 * 6 = 96√2(cм²)

Answer 2

Calculation of the lateral surface area of a prism

To find the lateral surface area of a prism, we need to know the length of the base perimeter and the height of the prism. In this case, the prism is a four-sided (quadrilateral) prism with a diagonal length of 10 cm and a height of 6 cm.

To calculate the lateral surface area, we need to find the perimeter of the base. Since the prism is a quadrilateral, we can use the formula for the perimeter of a quadrilateral, which is the sum of the lengths of its four sides.

However, we don't have the lengths of the sides of the base of the prism. Therefore, we need to use the given information to find the lengths of the sides.

Unfortunately, the search results provided do not directly give us the lengths of the sides of the base. Therefore, we cannot provide an exact calculation for the lateral surface area of the prism based on the given information.

If you have any additional information or if there is another way we can assist you, please let us know.