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

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

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Step-by-step video solution

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00:05 Let's find BB one.
00:08 Each face of the box is a rectangle, so opposite sides are e qual.
00:14 We'll substitute the side values based on what we know.
00:21 All faces are rectangles, meaning all angles are right angles.
00:28 Now, let's use the Pythagorean theorem on triangle A one D one D to find D D one.
00:42 Substitute the values, and solve for D D one.
00:49 Next, isolate D D one.
00:57 And there you have it, this is the height, D D one.
01:04 Since each face is a rectangle, opposite sides are the same.
01:10 That's how we solve the problem!

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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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