Question
Download Solution PDFThe area of the floor of a cubical room is 192 m2. The length of the longest rod that can be kept in that room is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Area of the floor of a cubical room = 192 m2
Formula used:
Diagonal of the cube = √3 × side of cube
Floor area = side2 (floor of the cube is in the shape of a square)
Calculation:
According to the question,
The floor area of the cube = side2
⇒ 192 = side2
⇒ side of cube = √192 = 8√ 3 m
Diagonal = √3 × side of the cube
⇒ √3 × 8 × √3
⇒ 8 × 3 = 24 m
∴ The length of the longest rod that can be kept in that room is 24 m.
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