Question

What is the length of the longest rod which can be placed in a box of 80 cm length, 40 cm breadth and 60 cm height?​

Answer 1

Step-by-step explanation:

✪ Dimension of the box:

◉ Length, l = 80 cm

◉ Breadth, b = 40 cm

◉ Height, h = 60 cm

Longest rod which can be placed in the given box is of length of the diagonal of the box,

Diagonal = √(l² + b² + h²)

☛ √(80² + 40² + 60²)

☛ √(6400 + 1600 + 3600)

☛ √11600

☛ ≈ 107.70

Hence, About 107.70 cm is the length of the longest rod which can be placed inside the box.

Answer 2

Answer:

length of the longest rod which can be placed in a box of 80 cm length, 40 cm breadth and 60 cm height is given by

l = $\sqrt{ {80}^{2} + {40}^{2} + {60}^{2} } = \sqrt{11600} = 107.7 \: cml=$

80

2

+40

2

+60

2

=

11600

=107.7cm

answer is 107.7cm