Question

The length breadth and height of a hall 3675 cm to 2100 cm and 1050 cm respectively. what can be the maximum length of a tape with which we can measure the length breath and height of the hall

Answer 1

The maximum length of a tape with which we can measure the length, breadth, and height of the hall is approximately 4362.35 cm.

Step-by-step explanation:

To find the maximum length of a tape with which we can measure the length, breadth, and height of the hall, we need to find the longest distance from one corner of the hall to another.

We can use the concept of the diagonal of a rectangular prism to determine this. The diagonal can be found using the formula: diagonal = sqrt(length^2 + breadth^2 + height^2)

Substituting the given measurements, we get:

diagonal = sqrt(3675^2 + 2100^2 + 1050^2) = sqrt(13550625 + 4410000 + 1102500) = sqrt(19063125)

So, the maximum length of a tape we would need to measure the hall is approximately 4362.35 cm.