Question

Find the length of the lonest stick that can be fitted in a Cubical vessel of Edge 20cm.

Answer 1

Answer:

= `sqrt(20^2 + 20^2 + 20^2)`

Step-by-step explanation:

The length of the edges of the cuboid is 20 cm. The length of the longest stick that can be placed in it is equal to the distance from one corner to the corner on the opposite face that lies diagonally opposite to it. This length is equal to L = `sqrt(20^2 + 20^2 + 20^2)` using the Pythagorean Theorem.

Answer 2

Step-by-step explanation:

Given :-

A Cubical vessel of Edge 20cm.

To find :-

Find the length of the lonest stick that can be fitted in a Cubical vessel of Edge 20cm.?

Solution :-

Given that

The edge of a cubical vessel = 20 cm

Let a = 20 cm

The length of the longest stick that can be fitted in the cubical vessel is the length of its diagonal.

We know that

The length of a diagonal of a cube = √3 a units

The length of the diagonal of the vessel

= √3×20 cm

=> 20√3 cm

or √3 = 1.732

then

=> 20×1.732 cm

=>34.64 cm

Therefore,

The length of the diagonal of the vessel

=20√3 cm or 34.64 cm

Answer:-

The length of the longest stick that can be fitted in the cubical vessel is 20√3 cm or 34.64 cm

Used formulae:-

→ The length of a diagonal of a cube = √3 a units

• a is the edge of the cube