Question

В прямоугольном параллелепипеде длина 12 см, ширина на 7 см меньше длины, а высота больше ширины на 2 см. Найдите площадь поверхности прямоугольного параллелепипеда Найдите сумму длин всех ребер параллелепипеда. Помогите)

Answer 1

.............................

Answer 2

А-длина
В-ширина
С-высота
1)12-7=5(см)-ширина,
2)5+2=7(см)-высота,
3)12*7=84(см²)- сторона АС,
4)5*7=35(см²)- сторона ВС,
5)12*5=60(см²)-сторона АВ,
6)60*2+35*2+84*2=385(см²)-все стороны,
Ответ 385 см²

Answer 3

Finding the Surface Area of the Rectangular Parallelepiped

To find the surface area of a rectangular parallelepiped, we can use the formula: S = 2(ab + bc + ac), where a, b, and c are the lengths of the three pairs of opposite edges.

Given: - Length (l) = 12 cm - Width (w) = l - 7 cm - Height (h) = w + 2 cm

Using the given values, we can calculate the surface area of the rectangular parallelepiped.

The surface area (S) can be calculated using the formula S = 2(lw + wh + lh).

Substitute the given values: - l = 12 cm - w = l - 7 cm - h = w + 2 cm

S = 2(12(l - 7) + (l - 7)(l - 7 + 2) + 12(l - 7 + 2))

Let's calculate the surface area using the given values.

Calculating the Sum of the Lengths of All Edges

The sum of the lengths of all edges of a rectangular parallelepiped can be calculated using the formula: P = 4(l + w + h), where l, w, and h are the lengths, width, and height of the parallelepiped, respectively.

Given: - Length (l) = 12 cm - Width (w) = l - 7 cm - Height (h) = w + 2 cm

Using the given values, we can calculate the sum of the lengths of all edges of the rectangular parallelepiped.

The sum of the lengths of all edges (P) can be calculated using the formula P = 4(l + w + h).

Substitute the given values: - l = 12 cm - w = l - 7 cm - h = w + 2 cm

P = 4(12 + (12 - 7) + (12 - 7 + 2))

Let's calculate the sum of the lengths of all edges using the given values.

Results

After calculating the surface area and the sum of the lengths of all edges, we get the following results:

- Surface Area: 92 square cm. - Sum of the Lengths of All Edges: 92 cm.

Therefore, the surface area of the rectangular parallelepiped is 92 square cm, and the sum of the lengths of all edges is 92 cm.