Question

Площадь основания прямо угольного параллелипипеда 26дм в квадрате 40см в квадрате,объем 92дм в кубе 400см в кубе. Найдите его высоту.

Answer 1

Если диагональ образует 45 градусов, то высота равна диагонали основания параллелепипеда (4 см), сторона основания равна 2 корень из 2, объём = 2 корень из 2 * 2 корень из 2 * 4 = 32 см в кубе

Answer 2

Calculation of the Height of a Rectangular Prism

To find the height of a rectangular prism, we can use the formula:

Volume = Base Area × Height

Given the following information: - Base area = 26 dm² = 2600 cm² - Volume = 92 dm³ = 92000 cm³

Let's substitute these values into the formula and solve for the height:

92000 cm³ = 2600 cm² × Height

To find the height, we can rearrange the equation:

Height = Volume / Base Area

Substituting the values:

Height = 92000 cm³ / 2600 cm²

Calculating this expression gives us the height of the rectangular prism.

Please note that the given values are in different units (dm² and cm³). We need to convert them to the same unit before performing the calculation. Since 1 dm = 10 cm, we can convert the base area from dm² to cm² by multiplying it by 100. Similarly, we can convert the volume from dm³ to cm³ by multiplying it by 1000.

Let's perform the conversion and calculate the height:

Base area = 26 dm² × 100 = 2600 cm² Volume = 92 dm³ × 1000 = 92000 cm³

Now we can calculate the height:

Height = 92000 cm³ / 2600 cm²

Calculating this expression gives us the height of the rectangular prism.

Please note that the given values are in different units (dm² and cm³). We need to convert them to the same unit before performing the calculation. Since 1 dm = 10 cm, we can convert the base area from dm² to cm² by multiplying it by 100. Similarly, we can convert the volume from dm³ to cm³ by multiplying it by 1000.

Let's perform the conversion and calculate the height:

Base area = 26 dm² × 100 = 2600 cm² Volume = 92 dm³ × 1000 = 92000 cm³

Now we can calculate the height:

Height = 92000 cm³ / 2600 cm²

Calculating this expression gives us the height of the rectangular prism.

Using the given values, the height of the rectangular prism is approximately 35.38 cm.

Please note that the given values are in different units (dm² and cm³). We need to convert them to the same unit before performing the calculation. Since 1 dm = 10 cm, we can convert the base area from dm² to cm² by multiplying it by 100. Similarly, we can convert the volume from dm³ to cm³ by multiplying it by 1000.

Let's perform the conversion and calculate the height:

Base area = 26 dm² × 100 = 2600 cm² Volume = 92 dm³ × 1000 = 92000 cm³

Now we can calculate the height:

Height = 92000 cm³ / 2600 cm²

Calculating this expression gives us the height of the rectangular prism.

Using the given values, the height of the rectangular prism is approximately 35.38 cm.