Question

Дан прямоугольный параллелепипед. Длина его равна 32 см, ширина в 2 раза меньше его длины, а высота на 7 см меньше его ширины. Найти: 1. длину всех ребер, 2. площадь поверхности 3. объем параллелепипеда. (ответы указать без единиц измерения) ДАМ 85 БАЛЛОВ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Пошаговое объяснение:

Длина 32 см, ширина 32:2=16 см, высота 16-7=9 см.

3. V=32*16*9=4608 cм³

2. S пов.= 16*32*2 + 16*9*2 + 32*9*2 = 1024+288+576 = 1888 см²

1. 32*4 + 16*4 + 9*4 = 128 + 64 + 36 = 228 см.

Answer 2

Given Information:

We are given a rectangular parallelepiped with the following dimensions: - Length: 32 cm - Width: 2 times smaller than the length - Height: 7 cm smaller than the width

We need to find: 1. The length of all edges 2. The surface area 3. The volume of the parallelepiped

Solution:

To find the length of all edges, we need to calculate the lengths of the 12 edges of the parallelepiped. Since the given information only provides the dimensions of the parallelepiped, we can assume that the shape is a rectangular box with six faces.

Let's calculate the lengths of the edges: - Length of the first edge: 32 cm - Length of the second edge: 2 times smaller than the length, which is 32/2 = 16 cm - Length of the third edge: 7 cm smaller than the width, which is (16 - 7) = 9 cm - Length of the fourth edge: 32 cm - Length of the fifth edge: 16 cm - Length of the sixth edge: 9 cm - Length of the seventh edge: 32 cm - Length of the eighth edge: 16 cm - Length of the ninth edge: 9 cm - Length of the tenth edge: 32 cm - Length of the eleventh edge: 16 cm - Length of the twelfth edge: 9 cm

Now, let's calculate the surface area of the parallelepiped. The surface area of a rectangular box can be calculated by summing the areas of all six faces.

The surface area of the parallelepiped is given by: - Surface area = 2 * (length * width + length * height + width * height)

Substituting the given values: - Surface area = 2 * (32 * 16 + 32 * 9 + 16 * 9) = 2 * (512 + 288 + 144) = 2 * 944 = 1888 cm²

Finally, let's calculate the volume of the parallelepiped. The volume of a rectangular box can be calculated by multiplying the length, width, and height.

The volume of the parallelepiped is given by: - Volume = length * width * height

Substituting the given values: - Volume = 32 * 16 * 9 = 4608 cm³

Answers:

1. The length of all edges: - First edge: 32 cm - Second edge: 16 cm - Third edge: 9 cm - Fourth edge: 32 cm - Fifth edge: 16 cm - Sixth edge: 9 cm - Seventh edge: 32 cm - Eighth edge: 16 cm - Ninth edge: 9 cm - Tenth edge: 32 cm - Eleventh edge: 16 cm - Twelfth edge: 9 cm

2. The surface area of the parallelepiped: 1888 cm²

3. The volume of the parallelepiped: 4608 cm³