Question

В прямоугольном параллепипеде АВСДА1В1С1Д1 рёбра АВ, АД и диагональ АВ1 равны соответственно 6,2 и корень 45.Найдите объём АВСДА1В1С1Д1

Answer 1

Надеюсь понятно. если что обращайся :)

Answer 2

Calculation of the Volume of a Rectangular Parallelepiped

To find the volume of a rectangular parallelepiped, we need to know the lengths of its three edges: AB, AD, and the diagonal AB1.

Given that AB = 6, AD = 2, and the diagonal AB1 = √45, we can calculate the volume of the rectangular parallelepiped.

The formula for the volume of a rectangular parallelepiped is:

Volume = length × width × height

In this case, the length is AB, the width is AD, and the height is the length of the diagonal AB1.

Let's substitute the given values into the formula:

Volume = AB × AD × AB1

Volume = 6 × 2 × √45

To simplify the calculation, we can express √45 as √(9 × 5) = √9 × √5 = 3 × √5.

Volume = 6 × 2 × 3 × √5

Volume = 36 × √5

Therefore, the volume of the rectangular parallelepiped ABCDA1B1C1D1 is 36√5 cubic units.

Please note that the sources provided did not directly answer the question. The calculation of the volume was done using the given information and the formula for the volume of a rectangular parallelepiped.