In the rectangular parallelepiped ABCDA1B1B1C1D1, the edges are AB = 15 AD = 8 AA1 = 9. Find the cross-sectional

univerkov | April 2, 2021 | education

In the rectangular parallelepiped ABCDA1B1B1C1D1, the edges are AB = 15 AD = 8 AA1 = 9. Find the cross-sectional area passing through the vertices D, D1, B.

First, let’s draw a rectangular parallelepiped ABCDA1B1B1C1D1.

Let’s draw a section passing through points D, D1, B.

To find its area, you need to find the side BD and BB1.

Since BB1 = AA1, then BB1 = 9.

Find the side ВD behind the Pythagorean theorem: √ (15 ^ 2 + 8 ^ 2) = 17.

Then the area is: 17 * 9 = 153.

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