Question

Ширина прямоугольного параллелепипеда равна 7,2 см,что составляет 3/4 длины и 4/5 высоты.Найдите объём прямоугольного параллелепипеда в кубических сантиметрах и округлите ответ до десятых.Пожалуйста еще с объяснением а то я не понимаю =(

Answer 1

Длина-7,2:3/4=9,6 см

Высота-7,2:4/5=9 см

Объем-7,2*9,6*9=622,08 см3 приблизительно 622,1 см3

Ответ: приблизительно 622,1 см3.

Если ширина а= 7.2см, то длина b= 7.2:3*4=9.6 см, а высота c=7.2:4*5=9 см

Объем V = a*b*c = 7.2 * 9.6 * 9 = 622.08 см^3 округляем до 622.1 см в кубе (см^3)

Answer 2

Problem Analysis

We are given that the width of a rectangular parallelepiped is 7.2 cm, which is equal to 3/4 of the length and 4/5 of the height. We need to find the volume of the rectangular parallelepiped in cubic centimeters, rounded to the nearest tenth.

Solution

To solve this problem, we can use the formula for the volume of a rectangular parallelepiped, which is given by:

Volume = Length × Width × Height

We are given that the width is 7.2 cm, which is equal to 3/4 of the length and 4/5 of the height. Let's denote the length as L and the height as H. From the given information, we can write the following equations:

7.2 = (3/4)L (Equation 1)

7.2 = (4/5)H (Equation 2)

We can solve these equations to find the values of L and H. Once we have the values of L, W, and H, we can substitute them into the volume formula to find the volume.

Solving Equation 1

To solve Equation 1, we can multiply both sides of the equation by 4/3 to isolate L:

(4/3) × 7.2 = (4/3) × (3/4)L

9.6 = L

So, the length of the rectangular parallelepiped is 9.6 cm.

Solving Equation 2

To solve Equation 2, we can multiply both sides of the equation by 5/4 to isolate H:

(5/4) × 7.2 = (5/4) × (4/5)H

9 = H

So, the height of the rectangular parallelepiped is 9 cm.

Calculating the Volume

Now that we have the values of L, W, and H, we can substitute them into the volume formula:

Volume = Length × Width × Height

Volume = 9.6 cm × 7.2 cm × 9 cm

Calculating the volume:

Volume = 622.08 cm³

Rounding the volume to the nearest tenth:

Volume ≈ 622.1 cm³

Therefore, the volume of the rectangular parallelepiped is approximately 622.1 cubic centimeters.

Conclusion

The volume of the rectangular parallelepiped, given that the width is 7.2 cm (which is equal to 3/4 of the length) and 4/5 of the height, is approximately 622.1 cubic centimeters.