Question

The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.? No spam...........

Answer 1

$\huge \red {\underline {HAYE\:MATE}}$

$\huge \purple {\boxed {\boxed {\mathbb {Answer}}}}$

$\huge \red {\underline {Given :- }}$

Length = 8 m 50 cm = 850 cm  

Breadth = 6 m 75 cm = 675 cm  

Height = 4 m 50 cm = 450 cm

$\huge \pink {\underline {To\: Find :- }}$

Length of the longest rod.

$\huge \green {\underline {Formula \:to\: be \:used :- }}$

HCF of given dimensions

$\huge \blue {\boxed {\boxed {\mathbb {solution:- }}}}$

we have to find the HCF of 825, 675 and 450 .

825 = 5 × 5 × 3 × 11

675 = 5 × 5 × 3 × 3 × 3

450 = 2 × 3 × 3 × 5 × 5

HCF = 5 × 5 × 3

HCF = 75 cm.

Hence, the length of the longest rod which can measure the three dimensions of the room exactly is 75 cm.

$\huge \blue {\mathbb {THANKS}}$

$\huge \green {FOllOW\:ME}$

$\huge \purple {\mathbb {SINGLE\:STAR}}$

Answer 2

ANSWER

Length = 825 cm =3×5×5×11

Breadth = 675 cm =3×3×3×5×5

Height = 450 cm =2×3×3×5×5

Longest tape = HCF of 825, 675, and 450 =3×5×5=75cm

Therefore, the longest tape is 75 cm.