Question

In a box whose dimensions are 12cmX 4cmX 3 Cm.What is the lenghr of the longest stickthat be placed.​

Answer 1

In a box whose dimensions are 12 cm × 4 cm × 3cm, what is the length of the longest stick that can be placed ?

Answer: 13 cm

Step-by-step explanation:

Given:

Length = 12 cm (l)

Breadth = 4 cm (b)

Height = 3 cm (h)

The longest stick that can be placed will be equal to the diagonal of the box.

.°. Length of diagonal of the box = √(l²+b²+h²)

= √[(12)² + (4)² + (3)²]

=√[144 + 16 + 9]

= √169

= 13 cm

Therefore, the length of the longest stick that can be placed is 13 cm.

Answer 2

• Given -

• In a box whose dimensions are 12 cm × 4cm × 3cm
• Length = 12cm
• Breadth = 4cm
• Height = 3cm

• To Find -

• longest stick (diagonal) across the box

• Solution -

To find length of diagonal, Formula will be -

$★ \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$

Placing Values,

$⟹ \sqrt{ {12}^{2} + {4}^{2} + {3}^{2} }$

$⟹ \sqrt{144 + 16 + 9}$

$⟹ \sqrt{169}$

$⟹13cm$

⛬ Longest stick (diagonal) that can be placed is 13cm