Calculate Length BB₁: 3D Box Geometry with Given Distance 18

Calculate the length of BB1 BB_1 in the box shown in the diagram.

aaa181818AAABBBCCCDDDAAA111BBB111CCC111DDD111

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Step-by-step video solution

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00:00 Find BB1
00:03 Each face in the box is a rectangle, therefore opposite sides are equal
00:09 Let's substitute the side value according to the given data
00:16 Each face in the box is a rectangle, therefore all angles are right angles
00:23 Now we'll use the Pythagorean theorem in triangle A1D1D to find DD1
00:37 Let's substitute appropriate values and solve for DD1
00:44 Isolate DD1
00:52 This is the height DD1
00:59 Each face in the box is a rectangle, therefore opposite sides are equal
01:05 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Calculate the length of BB1 BB_1 in the box shown in the diagram.

aaa181818AAABBBCCCDDDAAA111BBB111CCC111DDD111

3

Final Answer

324−a2 \sqrt{324-a^2}

Practice Quiz

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Look at the triangle in the diagram. How long is side AB?

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