Length, breadth and height of a cuboid are 30 cm, 30 cm and 15 cm…
2021
Length, breadth and height of a cuboid are 30 cm, 30 cm and 15 cm respectively. What is the length of longest rod that can be placed in cuboid?
Answer: B. 45 cm — The longest rod that can be placed in a cuboid fits along its space diagonal. The formula for the space diagonal is square root of (l squared + b squared + h…
- A.
35 cm
- B.
45 cm
- C.
60 cm
- D.
55 cm
Attempted by 45 students.
Show answer & explanation
Correct answer: B
The longest rod that can be placed in a cuboid fits along its space diagonal.
The formula for the space diagonal is square root of (l squared + b squared + h squared).
Given dimensions: l = 30 cm, b = 30 cm, h = 15 cm.
Calculation: square root of (30 squared + 30 squared + 15 squared) = square root of (900 + 900 + 225) = square root of 2025.
Square root of 2025 = 45 cm.
Final Answer: Option 2 (45 cm)