Question

основание одной песочницы -прямоугольник со стороной 2м и 3м -основание другой квадрат со стороной 3м!высота первой 25см второй 20см!в обе песочницы насыпали и разровняли песок,не досыпав 10см доверху!какой обьем песка в каждой песочнице!

Answer 1

Для решения необходимо превевести метры в сантиметры

2м=200см

3м=300см

Найдем объем 1 песочницы

1) 200*300*25=1500000(см кубических)

2)200*300*10=600000(см кубических)не досыпали в первую песочницу

3)1500000-600000=900000(см кубических) объем песка в первой песочнице

900000см кубических=0.9 м кубических

Найдем объем 2 песочницы

4)300*300*20=1800000(см кубических)объем второй песочницы

5)300*300*10=900000(см кубических)не досыпали во вторую песочницу

6)1800000-900000=900000(см кубических)объем песка во второй песочнице

900000см кубических=0.9м кубических

Ответ: одинаково,по 0,9 метра кубического

Answer 2

Calculation of the Volume of Sand in Each Sandbox

To calculate the volume of sand in each sandbox, we need to find the volume of each shape and subtract the space that is not filled with sand.

The first sandbox has a rectangular base with dimensions 2m by 3m and a height of 25cm. The second sandbox has a square base with dimensions 3m by 3m and a height of 20cm.

Let's calculate the volume of sand in each sandbox step by step:

Volume of the first sandbox:

The volume of a rectangular prism is calculated by multiplying the length, width, and height.

Volume of the rectangular base = length * width = 2m * 3m = 6m²

Volume of the first sandbox = volume of the rectangular base * height = 6m² * 25cm = 150m³

Volume of the second sandbox:

The volume of a square prism is calculated by multiplying the base area and the height.

Volume of the square base = side * side = 3m * 3m = 9m²

Volume of the second sandbox = volume of the square base * height = 9m² * 20cm = 180m³

However, it is mentioned that both sandboxes were not filled to the top, leaving a space of 10cm unfilled.

To calculate the volume of sand in each sandbox, we need to subtract the unfilled space from the total volume.

Adjusted volume of the first sandbox:

Adjusted volume of the first sandbox = volume of the first sandbox - unfilled space = 150m³ - 10cm = 150m³ - 0.1m = 149.9m³

Adjusted volume of the second sandbox:

Adjusted volume of the second sandbox = volume of the second sandbox - unfilled space = 180m³ - 10cm = 180m³ - 0.1m = 179.9m³

Therefore, the volume of sand in each sandbox, after adjusting for the unfilled space, is approximately:

- First sandbox: 149.9 cubic meters (m³) - Second sandbox: 179.9 cubic meters (m³)

Please note that the calculations are approximate due to rounding.