Question

Прямой параллелепипед, стороны основания а и б.А острый угол между ними 60 гр. Большая диагональ основания равна меньшей диагонали параллелепипеда. Найти объем?помогите пожалуйста...очень нужно(((

Answer 1

Извиняюсь за качество фото)

Answer 2

Calculation of the Volume of a Parallelepiped

To find the volume of a parallelepiped, we need to know the lengths of the base sides and the acute angle between them. In this case, the sides of the base are given as a and b, and the acute angle between them is 60 degrees. It is also mentioned that the larger diagonal of the base is equal to the smaller diagonal.

To calculate the volume of the parallelepiped, we can use the formula:

Volume = (base area) x (height)

The base area can be calculated using the formula:

Base area = (1/2) x (a) x (b) x sin(angle)

where sin(angle) represents the sine of the angle between the sides of the base.

Let's calculate the volume step by step:

1. Calculate the base area: - The base area is given by (1/2) x (a) x (b) x sin(angle). - Substituting the given values, we have (1/2) x (a) x (b) x sin(60 degrees).

2. Calculate the height: - The height of the parallelepiped is equal to the length of the larger diagonal of the base. - Since the larger diagonal is equal to the smaller diagonal, we can use either one to calculate the height. - Let's assume the larger diagonal is equal to d.

3. Calculate the volume: - The volume is given by (base area) x (height). - Substituting the calculated values, we have [(1/2) x (a) x (b) x sin(60 degrees)] x (d).

Let's calculate the volume using the given information.