Question

The length,breadth and height of a room are
960cm, 620cm and 450cm respectively.Find the
length of the longest rod that can measure
the dimensions of the room exactly?​

Answer 1

Answer:

length of room= 960cm

breadth of room =620cm

height of room =450cm

first we need to factorise

960,620,450cm dimensions

960=2*2*2*2*2*2*3*5

620=2*2*5*5*7

450=2*3*3*5

common factor =2and 5=2*5=10

hence ,longest rod that can measure in the dimensions of the room exactly =10

Answer 2

Answer:

Step by step explanation:

Given :-

length - 960cm

breadth - 620cm

height - 450cm

Here we need to factorise all the three given dimension

Length - 960 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5

Breadth - 620 = 2 × 2 × 5 × 31

Height - 450 = 2 × 3 × 3 × 5 × 5

Hence , 2 and 5 are the common prime factors

so HCF = 10cm

The therefore we need to 10cm rod to measure the three dimension of the room