Question

4 3/4 : 1/4 - -1 5/6 * 3= (13 3/4 - 12 13/14) * 5 3/5 + 2 2/5= 3 2/15х + 1 7/10х=9 2/3 (х - 3/8х) * 2 4/5 - 1 3/14 = 2 2/7 Высота прямоугольного параллелепипеда, равная 1 1/5 дм, составляет 6/7 его длины, и в 1 1/2 раза больше ширины. Что больше и на сколько: объём параллелепипеда или объём куба с ребром 1 1/5 дм? ПОМОГИТЕ ПОЖАЛУЙСТА!

Answer 1

Решение смотри на фото

Answer 2

Calculation:

To solve the given equation, let's break it down step by step:

1. 4 3/4 : 1/4 + -1 5/6 * 3 = (13 3/4 + -12 13/14) * 5 3/5 + 2 2/5 = 3 2/15 * (х + -3/8х) * 2 4/5 + -1 3/14 = 2 2/7

2. Height of the rectangular parallelepiped: - The height is given as 1 1/5 dm. - It is 6/7 of the length. - It is 1 1/2 times greater than the width.

3. Volume of the rectangular parallelepiped: - The volume of a rectangular parallelepiped is given by the formula: Volume = Length * Width * Height.

4. Volume of the cube: - The volume of a cube is given by the formula: Volume = Side^3.

Let's calculate the volume of the rectangular parallelepiped and the volume of the cube.

Solution:

1. Calculation: - The given equation simplifies to 2 2/7.

2. Height of the rectangular parallelepiped: - The height is given as 1 1/5 dm. - It is 6/7 of the length. - It is 1 1/2 times greater than the width.

3. Volume of the rectangular parallelepiped: - Let's assume the length of the rectangular parallelepiped is L. - The width of the rectangular parallelepiped is (1/2) * (1 1/5 dm) = 6/10 dm = 3/5 dm. - The height of the rectangular parallelepiped is 1 1/5 dm. - Therefore, the volume of the rectangular parallelepiped is Volume = L * (3/5) * (1 1/5) = (3/5) * (6/5) * L = 18/25 L.

4. Volume of the cube: - The side length of the cube is 1 1/5 dm. - Therefore, the volume of the cube is Volume = (1 1/5)^3 = (6/5)^3 = 216/125 dm^3.

To determine which volume is greater and by how much, we can compare the volumes of the rectangular parallelepiped and the cube.

- The volume of the rectangular parallelepiped is 18/25 L. - The volume of the cube is 216/125 dm^3.

Since we don't have the value of L, we cannot directly compare the volumes. However, we can conclude that the volume of the cube is greater than the volume of the rectangular parallelepiped because the cube has a fixed volume of 216/125 dm^3 regardless of the value of L.

Therefore, the volume of the cube is greater than the volume of the rectangular parallelepiped, but we cannot determine the exact difference without knowing the value of L.