Question

Из деревянного бруска,длинна которого 8 см,ширина 6 см,высота 4 см,вырезали куб с ребром 4 см.Чему равен объём оставшейся части бруска?скажите пожалуйста

Answer 1

Объем бруска по формуле
V = a*b*c = 8*6*4 = 192 см³
Объем куба по формуле
v= a³ = a*a*a = 4³ = 64 см³
Вырезаем = вычитаем
192 - 64 = 128 см³ - объем остатка - ОТВЕТ

Answer 2

Объем бруска первоначально равен 8*6*4=192
объем куба = 4 в квадрате = 16
192-16=176----это ответ

Answer 3

Calculation of the Remaining Volume of the Wooden Block

To calculate the volume of the remaining part of the wooden block after a cube with an edge length of 4 cm is cut out, we need to subtract the volume of the cube from the volume of the original block.

The original block has dimensions: - Length: 8 cm - Width: 6 cm - Height: 4 cm

The volume of the original block can be calculated using the formula: volume = length * width * height.

Let's calculate the volume of the original block: - Length: 8 cm - Width: 6 cm - Height: 4 cm

Volume of the original block = 8 cm * 6 cm * 4 cm = 192 cm³ .

Now, let's calculate the volume of the cube that was cut out. Since it is a cube, all sides have the same length, which is 4 cm.

Volume of the cube = (side length)³ = 4 cm * 4 cm * 4 cm = 64 cm³.

To find the volume of the remaining part of the wooden block, we subtract the volume of the cube from the volume of the original block:

Volume of the remaining part = Volume of the original block - Volume of the cube = 192 cm³ - 64 cm³ = 128 cm³.

Therefore, the volume of the remaining part of the wooden block is 128 cm³.

I hope this helps! Let me know if you have any further questions.