How Do You Find The Length Of The Longest Pole?

Detailed Solution

1. Given: Length(l) = 19 m, Breadth(b) = 18 m, Height(h) = 17 m.
2. Formula used: Length of the longest rod that can be placed in a room = √[l² + b² + h²]
3. Calculation: According to the question,
4. ∴ The longest pole is 31.2 m. Download Soln PDF.

How do you find the length of a pole?

How to determine the pole length?

1. Pole length = (Height plus Basic height) * individual factor.
2. We generally recommend longer poles for those with……
3. Slightly shorter poles should be chosen by those with…..

What is the length of longest pole that can be put?

So, if we know the diagonal of a cuboid we can fit the longest pole there. In the above figure, BH is the diagonal of a cuboid. From the above calculations, the length of the diagonal is 15m. Hence, the longest pole which can be put in a room is 15m.

What is the length of the longest pole that can be put in a room of dimensions 12m 9m 8m?

∴ Hence, the length of the longest pole that can be kept in a room (12m x 9m x 8m) is 17m.

What is the length of the longest pole you could put in a rectangular storage room?

∴ Length of the longest pole is 15m.

How do you find the longest pole in a cuboid?

The longest rod inside a cuboid is called a body diagonal and is given by l² = a² +b² + c² where L is the length of the rod and a, b, c are the dimensions of the cuboid. The answer to your question then becomes, L² = 10²+12²+15².

What is the length of the longest pole that can be put in a room of dimensions 10m 10m 5m?

Find the length of the longest pole that can be put in a room of dimensions (10m × 10m × 5m). Therefore, the length of the longest pole that can be put in the room is 15m.

What is the length of the longest pole which can stay in a room 12 m long 4 m broad and 3 m high?

The length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high are: => d2 = 122 + 42 + 32 = 13 mts.

What is the length of the largest pole that can be placed in a room 11m long 8m broad and 9m high?

Length of longest pole = Length of the diagonal of the room = √122 + 82 + 92 = √289= 17 m.

How do I find the diagonal of a rectangle?

You can use the Pythagorean theorem to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w² , and now you should know how to find the diagonal of a rectangle explicit formula – just take a square root: d = √(l² + w²) .

What is the length of the longest rod that can fit in a cubical vessel of side 10cm?

∴ The length of the longest rod is 19√3 cm.

What is the length of the longest rod that can be placed in a room 13m long 24 Metre broad and 18 Metre height?

The length of the longest rod that can be placed in a room of 30 m long, 24 m broad and 18m high is. = √1800=√2×900=30√2 mts.

How do you find the side length of a rectangular diagonal?

As we know, two diagonal of rectangle are equal we can have following relation between diagonal and it’s two side. l^2+b^2= d^2. The diagonal alone is not sufficient to find the length and width of the rectangle. One trick that can be used is by using the pythagorean triple, if you wish to get integer answers.

What is the length of longest stick that can be fitted in a cubical vessel of edge 20cm long?

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.

What is the longest distance in a cube?

Longest distance between two points of the cube is when it is the diagonal of the cube. Let the length of the side of the cube be $ a=10cm $ . The longest distance is the diagonal of the cube which is AG from the above figure.

What is the length of diagonals of a cube of side a CM?

Length of body diagonal of a cube = √3 x units.