Question

7. Find the length of the longest rod that can be placed in a room of dimensions 8 m, 10 m, and 6 m.

NOTE - ANSWER IS NOT 10root²​

Answer 1

${\huge{\star{\underbrace{\tt{\red{Answer}}}}}}{\huge{\star}}$

Given :

• Dimensions of room = 8m × 10m × 6m

To find :

• Length of longest rod that can be placed in the room

Solution :

✯ The longest rod that can be placed in the room is equal to the diagonal of the room.

Now ,

${\boxed{\sf \star \ Diagonal \ of \ cuboid \ = \ \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} } }}$

${\sf{\implies \ Diagonal \ = \ \sqrt{ {8}^{2} + {10}^{2} + {6}^{2} } }}$

${\sf{\implies \ Diagonal \ = \ \sqrt{64 + 100 + 36} }}$

${\sf{\implies \ Diagonal \ = \ \sqrt{64 + 100 + 36} }}$

${\sf{\implies \ Diagonal \ = \ \sqrt{200} }}$

${\sf{\implies \ Diagonal \ = \ \sqrt{100 \times 2} }}$

${\sf{\implies \ Diagonal \ = \ 10 \sqrt{2} }}$

${\sf{\implies \ Diagonal \ = \ 10 \times 1.414 }}$

${\sf{\implies \ Diagonal \ = \ 14.14 m }}$

Hence the length of the longest rod that can be placed in a room is 14.14m .

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Answer 2

refer this ...

hope so you will