Question

Основа прямой треугольной призмы - прямоугольный треугольник с катетами 3 см и 10 см. Высота призмы равна 8 см. Найдите объем призмы.

Answer 1

Решение
V = Sосн * Н
Sосн = (1/2)* 3*10 = 15 (см²)
V = 15 * 8 = 120 (см³)
Ответ: 120 см³

Answer 2

Calculation of the Volume of a Right Triangular Prism

To find the volume of a right triangular prism, we need to know the base area and the height of the prism.

Given: - The base of the prism is a right triangle with legs measuring 3 cm and 10 cm. - The height of the prism is 8 cm.

To calculate the volume, we can follow these steps:

1. Calculate the base area of the prism by using the formula for the area of a right triangle: base_area = (1/2) * base * height. In this case, the base is the right triangle with legs measuring 3 cm and 10 cm, and the height is the longer leg of the right triangle, which is 10 cm.

Plugging in the values, we get: base_area = (1/2) * 3 cm * 10 cm = 15 cm^2.

2. Multiply the base area by the height of the prism to get the volume: volume = base_area * height.

Plugging in the values, we get: volume = 15 cm^2 * 8 cm = 120 cm^3.

Therefore, the volume of the given right triangular prism is 120 cm^3.