Question

Даны длина, ширина и высота параллелепипеда. Найти сумму длин всех его ребер, объём и площадь поверхности.

Answer 1

S=2(ab+bc+ca)
V=abc
L=4(a+b+c)
V обьем
L длина ребер
S площадь поверхности

Answer 2

Calculation of the Sum of the Lengths of All Edges

To calculate the sum of the lengths of all edges of a parallelepiped, you need to know its length, width, and height. Let's denote the length as a, the width as b, and the height as c.

The sum of the lengths of all edges can be calculated using the formula:

Sum of lengths of all edges = 4a + 4b + 4c.

Therefore, the sum of the lengths of all edges of the parallelepiped is 4a + 4b + 4c.

Calculation of the Volume

The volume of a parallelepiped can be calculated using the formula:

Volume = length × width × height.

Therefore, the volume of the parallelepiped is abc.

Calculation of the Surface Area

The surface area of a parallelepiped can be calculated using the formula:

Surface Area = 2(ab + bc + ac).

Therefore, the surface area of the parallelepiped is 2(ab + bc + ac).

Let's summarize the formulas for the given dimensions:

- Sum of lengths of all edges: 4a + 4b + 4c - Volume: abc - Surface Area: 2(ab + bc + ac).

Please provide the values of the length, width, and height of the parallelepiped, and I will calculate the sum of the lengths of all edges, volume, and surface area for you.

Answer 3

Calculation of the Sum of the Lengths of All Edges

To find the sum of the lengths of all edges of a parallelepiped, you need to add up the lengths of all twelve edges. Let's denote the length, width, and height of the parallelepiped as a, b, and c, respectively.

The sum of the lengths of all edges can be calculated using the formula:

Sum of lengths of all edges = 4(a + b + c)

Therefore, the sum of the lengths of all edges of the parallelepiped is 4(a + b + c).

Calculation of the Volume

The volume of a parallelepiped can be calculated by multiplying its length, width, and height. Using the given dimensions a, b, and c, the volume can be calculated as:

Volume = a * b * c

Therefore, the volume of the parallelepiped is a * b * c.

Calculation of the Surface Area

The surface area of a parallelepiped can be calculated by adding the areas of all six faces. The formula for the surface area of a parallelepiped is:

Surface Area = 2(ab + bc + ac)

Therefore, the surface area of the parallelepiped is 2(ab + bc + ac).

Let's summarize the calculations:

- Sum of lengths of all edges: 4(a + b + c) - Volume: a * b * c - Surface Area: 2(ab + bc + ac)

Please provide the values of the length, width, and height of the parallelepiped, and I will calculate the sum of lengths of all edges, volume, and surface area for you.