A ballroom in a hotel has the shape shown in the diagram. The hotel manager needs to determine how much carpet is needed to reca
2 answers:
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Answer:
see attached
Step-by-step explanation:
The first application of the Pythagorean theorem is used to find the diagonal of one face. That is called 'a' in this problem. Then the second application of the Pythagorean theorem uses that value of 'a' along with the remaining prism dimension to find the space diagonal 'c'.
- 6² +8² = a²
- 12² +a² = c²
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You don't actually have to find 'a', because you only need the value of a². Using the first equation to substitute into the second equation gives ...
6² +8² +12² = c²
