Question

от прямоугольного параллепипеда основанием которога служит квадрат со стороной 4 см отрезали уб с ребром 3 см .чему равен объём получившейся фигуры если высота параллепипеда 7 см

Answer 1

Объем отрезанного куба Vk=3^3=27.
Объем параллелепипеда Vп=4^2*7=112.
Объем оставшейся фигуры V=Vп-Vk=112-27=85 cм^3

Answer 2

Calculation of the Volume of the Figure

To find the volume of the figure obtained by cutting off a cube with a side length of 4 cm and an edge length of 3 cm from a rectangular parallelepiped with a height of 7 cm, we need to calculate the volume of the rectangular parallelepiped and subtract the volume of the cut-off cube.

The volume of a rectangular parallelepiped is given by the formula:

Volume = Length × Width × Height

In this case, the base of the rectangular parallelepiped is a square with a side length of 4 cm. Therefore, the length and width of the rectangular parallelepiped are also 4 cm.

Let's calculate the volume of the rectangular parallelepiped:

Volume of the rectangular parallelepiped = 4 cm × 4 cm × 7 cm

Now, let's calculate the volume of the cut-off cube. The volume of a cube is given by the formula:

Volume = Side length × Side length × Side length

In this case, the side length of the cube is 3 cm.

Volume of the cut-off cube = 3 cm × 3 cm × 3 cm

To find the volume of the figure obtained, we subtract the volume of the cut-off cube from the volume of the rectangular parallelepiped:

Volume of the figure = Volume of the rectangular parallelepiped - Volume of the cut-off cube

Let's calculate the volume of the figure:

Volume of the figure = (4 cm × 4 cm × 7 cm) - (3 cm × 3 cm × 3 cm)

The resulting value will be the volume of the figure obtained.

Please note that the above calculations assume that the cut-off cube is removed completely from the rectangular parallelepiped without leaving any gaps or overlaps.