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The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the
longest tape which can measure the three dimensions of the room exactly.?
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The length, breadth and height of a room are 825 cm, 675 cm and 450 cm...
Calculating the longest tape measure for a room:
The longest tape measure required to measure the three dimensions of the room exactly can be calculated using the concept of finding the diagonal of a rectangular prism.

Step 1: Find the diagonal of the room
- Diagonal of a rectangular prism can be found using the formula:
Diagonal = √(length^2 + breadth^2 + height^2)

Step 2: Substitute the given dimensions
- Given:
Length = 825 cm
Breadth = 675 cm
Height = 450 cm
- Substituting the values in the formula:
Diagonal = √(825^2 + 675^2 + 450^2) cm
= √(680625 + 455625 + 202500) cm
= √(1338750) cm
= 1157.74 cm
Therefore, the longest tape measure required to measure the three dimensions of the room exactly is 1157.74 cm.
This calculation ensures that the tape measure will be long enough to cover the longest distance within the room, which is the diagonal.
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The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.?
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The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.?.
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