Question

Правильный параллелепипед abcda1b1c1d1 площадь основания 5 и высотой 9 найти объем многогранника с вершунами в точках abca1b1

Answer 1

V=1/3*кореньизпяти*9*кореньизпяти=3*5=15
Удачи!

Answer 2

Calculating the Volume of a Parallelepiped

To find the volume of a parallelepiped with the given vertices and dimensions, we can use the formula:

Volume = Area of Base * Height

First, we need to find the area of the base and then multiply it by the given height to obtain the volume.

Finding the Area of the Base

The area of the base of the parallelepiped can be calculated using the formula for the area of a parallelogram:

Area of Base = Base Length * Base Width

In this case, the base length is 5 and the base width is also 5, as the base is a parallelogram with sides ab, bc, and so on.

Calculating the Volume

Now that we have the area of the base and the given height, we can calculate the volume using the formula:

Volume = Area of Base * Height

Substituting the given values: Volume = 5 * 5 * 9

Volume = 225 cubic units

So, the volume of the parallelepiped with the given dimensions and vertices is 225 cubic units.