Question

Виміри прямокутного паралелепіпеда дорівнюють 6 м,12м,11м.Знайти суму довжин всих ребер; площу повної поверхні та об'єм. Срооочччнооо пожалуйста​

Answer 1

Відповідь:

Покрокове пояснення: фото

Answer 2

Calculation of the Sum of Lengths of All Edges

To find the sum of the lengths of all edges of a rectangular parallelepiped, we can use the formula:

Sum of lengths of all edges = 4 * (Length + Width + Height)

Given that the dimensions of the rectangular parallelepiped are 6 m, 12 m, and 11 m, we can substitute these values into the formula:

Sum of lengths of all edges = 4 * (6 m + 12 m + 11 m)

Calculating this expression, we get:

Sum of lengths of all edges = 4 * 29 m = 116 m.

Therefore, the sum of the lengths of all edges of the rectangular parallelepiped is 116 meters.

Calculation of the Surface Area

To find the surface area of a rectangular parallelepiped, we can use the formula:

Surface Area = 2 * (Length * Width + Width * Height + Height * Length)

Substituting the given dimensions into the formula, we have:

Surface Area = 2 * (6 m * 12 m + 12 m * 11 m + 11 m * 6 m)

Calculating this expression, we get:

Surface Area = 2 * (72 m² + 132 m² + 66 m²) = 2 * 270 m² = 540 m².

Therefore, the surface area of the rectangular parallelepiped is 540 square meters.

Calculation of the Volume

To find the volume of a rectangular parallelepiped, we can use the formula:

Volume = Length * Width * Height

Substituting the given dimensions into the formula, we have:

Volume = 6 m * 12 m * 11 m

Calculating this expression, we get:

Volume = 792 m³.

Therefore, the volume of the rectangular parallelepiped is 792 cubic meters.

In summary: - The sum of the lengths of all edges of the rectangular parallelepiped is 116 meters. - The surface area of the rectangular parallelepiped is 540 square meters. - The volume of the rectangular parallelepiped is 792 cubic meters.