Question

Дан прямоугольный параллелипипед его ширина равна7см длина в 2раза больше ширины а высота на 5 см меньше длины. Найдите сумму поверхности параллелепипеда сумму длин всех ребер параллелепипеда и объем параллепипеда

Answer 1

7 х 2 = 14 см длина

14-5=9 см высота

Площадь поверхности прямоугольного параллелепипеда

Sп=2(ab+bc+ac) = 2 ( 7х14 + 14х9 + 9х7)= 2 (98+126+63)= 574 кв см

Сумма длин всех рёбер

4 (a+b+c)= 4 (7+14+9)= 120 см

 

Объём  -  V=abc= 7 х 14 х 9 = 882 куб см

Answer 2

1) 7*2=14(см)- длина

2)14-5=9(см)-высота

V= a*b*c.

7*14*9=882(см кубических)

3) 4*9= 36(см)

4)14*4=56(см)

5) 7*4=28(см)

6) 36+56+28=120(см)

Ответ: Объём=882см, сумма всех рёбер=120см.

 

Answer 3

Given Information:

We are given the following information about a rectangular parallelepiped: - Width = 7 cm - Length is twice the width - Height is 5 cm less than the length

Finding the Length, Height, and Surface Area:

To find the length, we can multiply the width by 2: Length = 7 cm * 2 = 14 cm.

To find the height, we subtract 5 cm from the length: Height = 14 cm - 5 cm = 9 cm.

The surface area of a rectangular parallelepiped can be calculated using the formula: Surface Area = 2 * (Length * Width + Length * Height + Width * Height).

Substituting the given values, we get: Surface Area = 2 * (14 cm * 7 cm + 14 cm * 9 cm + 7 cm * 9 cm).

Calculating the surface area: Surface Area = 2 * (98 cm² + 126 cm² + 63 cm²) = 2 * 287 cm² = 574 cm².

Therefore, the sum of the surface area of the parallelepiped is 574 cm².

Finding 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: Sum of Lengths of Edges = 4 * (Length + Width + Height).

Substituting the given values, we get: Sum of Lengths of Edges = 4 * (14 cm + 7 cm + 9 cm).

Calculating the sum of the lengths of all edges: Sum of Lengths of Edges = 4 * 30 cm = 120 cm.

Therefore, the sum of the lengths of all edges of the parallelepiped is 120 cm.

Finding the Volume:

The volume of a rectangular parallelepiped can be calculated using the formula: Volume = Length * Width * Height.

Substituting the given values, we get: Volume = 14 cm * 7 cm * 9 cm.

Calculating the volume: Volume = 882 cm³.

Therefore, the volume of the parallelepiped is 882 cm³.

To summarize: - The sum of the surface area of the parallelepiped is 574 cm². - The sum of the lengths of all edges of the parallelepiped is 120 cm. - The volume of the parallelepiped is 882 cm³.