Question

Три измерения прямоугольного параллепипеда равна 6,8,9 см найти V и сумму площадей всех его граней

Answer 1

V = 6 * 8 * 9 = 432 см³ - объём.
S = (6*8 + 6*9 + 9*8) * 2 = 348 см² - площадь всей поверхности.

Answer 2

Calculation of Volume and Sum of Surface Areas

To find the volume and sum of the surface areas of a rectangular parallelepiped with dimensions 6 cm, 8 cm, and 9 cm, we can use the following formulas:

Volume of a rectangular parallelepiped: The volume (V) of a rectangular parallelepiped is calculated by multiplying its length (l), width (w), and height (h): V = l * w * h

Sum of the surface areas of a rectangular parallelepiped: The sum of the surface areas of a rectangular parallelepiped is calculated by adding the areas of all its six faces: Sum of surface areas = 2lw + 2lh + 2wh

Let's calculate the volume and sum of the surface areas using the given dimensions.

Calculation:

Given dimensions: Length (l) = 6 cm Width (w) = 8 cm Height (h) = 9 cm

Volume (V) calculation: V = l * w * h V = 6 cm * 8 cm * 9 cm V = 432 cm³

Sum of surface areas calculation: Sum of surface areas = 2lw + 2lh + 2wh Sum of surface areas = 2 * 6 cm * 8 cm + 2 * 6 cm * 9 cm + 2 * 8 cm * 9 cm Sum of surface areas = 96 cm² + 108 cm² + 144 cm² Sum of surface areas = 348 cm²

Therefore, the volume (V) of the rectangular parallelepiped is 432 cm³, and the sum of the surface areas of all its faces is 348 cm².

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