Question

Ширина прямоугольного параллелепипеда равна 5 1/3 см, а его длинна в 7 1/2 больше ширины, а высота состовляет 30% длинны. Вычеслите объем параллепипеда. Помогите пожалуйста срочно

Answer 1

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Answer 2

Calculation of the Volume of a Rectangular Parallelepiped

To calculate the volume of a rectangular parallelepiped, we need to know its length, width, and height. Let's use the information provided to find the volume.

Given: - Width of the rectangular parallelepiped = 5 1/3 cm - Length is 7 1/2 greater than the width - Height is 30% of the length

Let's calculate the length, height, and volume step by step:

1. Calculating the Length: The length is given as 7 1/2 greater than the width. To find the length, we add 7 1/2 to the width. Width = 5 1/3 cm Length = Width + 7 1/2 To add these two values, we need to convert them to the same format. Let's convert the width to a mixed fraction: Width = 5 1/3 cm = (5 * 3 + 1) / 3 = 16/3 cm Now we can add the values: Length = 16/3 cm + 7 1/2 cm To add these fractions, we need to find a common denominator. The common denominator for 3 and 2 is 6: Length = (16/3 * 2/2) cm + (7/2 * 3/3) cm = 32/6 cm + 21/6 cm = 53/6 cm Therefore, the length of the rectangular parallelepiped is 53/6 cm.

2. Calculating the Height: The height is given as 30% of the length. To find the height, we multiply the length by 30% (or 0.3). Height = 0.3 * Length Height = 0.3 * (53/6) cm To multiply fractions, we multiply the numerators and denominators: Height = (0.3 * 53) / (6 * 1) cm = 15.9 / 6 cm = 2.65 cm Therefore, the height of the rectangular parallelepiped is 2.65 cm.

3. Calculating the Volume: The volume of a rectangular parallelepiped is given by the formula: Volume = Length * Width * Height. Volume = Length * Width * Height Volume = (53/6) cm * (16/3) cm * 2.65 cm To multiply fractions, we multiply the numerators and denominators: Volume = (53 * 16 * 2.65) / (6 * 3 * 1) cm^3 = 2247.2 / 18 cm^3 = 124.8444 cm^3 (rounded to four decimal places) Therefore, the volume of the rectangular parallelepiped is approximately 124.8444 cm^3.

Summary: The volume of the rectangular parallelepiped is approximately 124.8444 cm^3.