
Найти P,S,V прямоугольных пар, если его измерения равна 7 см, 10 см,20 см


Ответы на вопрос

Пошаговое объяснение:
P=4a+4b+4c
P=4*7+4*10+4*20=128см
S=2*(ab+ac+bc)
S=2*(7+10+20)=820см^2
V=a*b*c
V=7*10*20=1400см^3



Finding the Perimeter, Area, and Volume of a Rectangular Prism
To find the perimeter (P), surface area (S), and volume (V) of a rectangular prism with dimensions 7 cm, 10 cm, and 20 cm, we can use the following formulas:
1. Perimeter (P) of a rectangle: - The perimeter of a rectangle is the sum of all its sides. - Formula: P = 2(l + w), where l is the length and w is the width.
2. Surface Area (S) of a rectangular prism: - The surface area of a rectangular prism is the sum of the areas of all its faces. - Formula: S = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
3. Volume (V) of a rectangular prism: - The volume of a rectangular prism is the product of its length, width, and height. - Formula: V = lwh, where l is the length, w is the width, and h is the height.
Calculating the Perimeter, Surface Area, and Volume
1. Perimeter: - Given dimensions: Length (l) = 7 cm, Width (w) = 10 cm - Using the formula P = 2(l + w): - P = 2(7 + 10) - P = 2(17) - P = 34 cm.
2. Surface Area: - Given dimensions: Length (l) = 7 cm, Width (w) = 10 cm, Height (h) = 20 cm - Using the formula S = 2lw + 2lh + 2wh: - S = 2(7*10) + 2(7*20) + 2(10*20) - S = 140 + 280 + 400 - S = 820 cm^2.
3. Volume: - Given dimensions: Length (l) = 7 cm, Width (w) = 10 cm, Height (h) = 20 cm - Using the formula V = lwh: - V = 7*10*20 - V = 1400 cm^3.
Results
- Perimeter (P): 34 cm - Surface Area (S): 820 cm^2 - Volume (V): 1400 cm^3So, the perimeter of the rectangular prism is 34 cm, the surface area is 820 cm^2, and the volume is 1400 cm^3.


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