Question

Бруски (ВСЕГО 4 БРУСКА) из которых сложены параллелепипеды одинаковы и имеют измерения 8 см 4 см 2 см.Вычислите объемы параллелипипедов двумя способами: а)Сложив объемы соответствующих брусков б)Перемножив измерения параллелепипедовОтветы должны получиться такими: а)192см в квадрате б)256 см в квадратеСПАСИБО!!!

Answer 1

А)
V=V1+V2+V3+V4
V1=V2=V3=V4=8*4*2=64 см³ - объем одного бруска
V=64+64+64+64=256 см³ - объем 

б)
V=4*V1=4*64=256 см³

Answer 2

Calculation of the Volume of Parallelepipeds

To calculate the volume of the parallelepipeds, we need to find the volume of each individual brick and then sum them up.

Given that there are 4 bricks, each with dimensions 8 cm x 4 cm x 2 cm, we can calculate the volume of each brick using the formula:

Volume = Length x Width x Height

For the first method, we will add up the volumes of the corresponding bricks. For the second method, we will multiply the dimensions of the parallelepiped.

Let's calculate the volumes using both methods:

Method 1: Summing the Volumes of the Bricks

The volume of each brick is:

Volume of Brick = 8 cm x 4 cm x 2 cm = 64 cm³

To find the total volume of the parallelepipeds, we add up the volumes of the four bricks:

Total Volume = 4 x Volume of Brick = 4 x 64 cm³ = 256 cm³.

Therefore, the volume of the parallelepipeds, calculated by summing the volumes of the bricks, is 256 cm³.

Method 2: Multiplying the Dimensions of the Parallelepipeds

The dimensions of the parallelepipeds are 8 cm x 4 cm x 2 cm.

To find the volume of the parallelepipeds using this method, we multiply the dimensions:

Volume = Length x Width x Height = 8 cm x 4 cm x 2 cm = 64 cm³

Since all four parallelepipeds have the same dimensions, the total volume is:

Total Volume = 4 x Volume = 4 x 64 cm³ = 256 cm³.

Therefore, the volume of the parallelepipeds, calculated by multiplying the dimensions, is also 256 cm³.

Conclusion

The volume of the parallelepipeds, calculated using both methods, is 256 cm³.