Question

найти диагональ прямоугольного параллелепипеда ,если его измерения 2 см, 3 см, 4 см,

Answer 1

D²=a²+b²+c²
d²=4+9+16
d²=29
d=√29

Answer 2

Finding the Diagonal of a Rectangular Parallelepiped

To find the diagonal of a rectangular parallelepiped with measurements 2 cm, 3 cm, and 4 cm, we can use the formula:

Diagonal (D) = √(a^2 + b^2 + c^2)

Where a, b, and c are the three dimensions of the rectangular parallelepiped.

Using the given measurements: a = 2 cm b = 3 cm c = 4 cm

We can calculate the diagonal as follows:

D = √(2^2 + 3^2 + 4^2) D = √(4 + 9 + 16) D = √29 D ≈ 5.385 cm

So, the diagonal of the rectangular parallelepiped is approximately 5.385 cm.

Additional Information

The volume of the rectangular parallelepiped can be calculated using the formula: Volume (V) = a * b * c Given the measurements: a = 2 cm b = 3 cm c = 4 cm We can calculate the volume as follows: V = 2 * 3 * 4 V = 24 cm³

So, the volume of the rectangular parallelepiped is 24 cm³.

The surface area of the rectangular parallelepiped can be calculated using the formula: Surface Area (S) = 2(ab + bc + ac) Given the measurements: a = 2 cm b = 3 cm c = 4 cm We can calculate the surface area as follows: S = 2(2*3 + 3*4 + 2*4) S = 2(6 + 12 + 8) S = 2(26) S = 52 cm²

So, the surface area of the rectangular parallelepiped is 52 cm².

These calculations provide a comprehensive understanding of the geometric properties of the given rectangular parallelepiped.

If you have any further questions or need additional assistance, feel free to ask!