Question

The length, breadth and height of a room are 8m 50cm, 6m 25cm and 4m
75cm respectively. Find the length of the longest rod that can measure the
dimensions of the room exactly.​

Answer 1

✪ $\huge{\red{\underline{\overline{\mathbf{Question}}}}}$ ✪

→The length, breadth and height of a room are 8m 50cm, 6m 25cm and 4m  75cm respectively. Find the length of the longest rod that can measure the  dimensions of the room exactly.

✪  $\huge{\green{\underline{\overline{\mathbf{Answer}}}}}$  ✪

⇒Given:

• l = 8.50 m
• b = 6.25 m
• h = 4.75 m

⇒To Find:

• Longest Rod = Longest Diagonal

⇒Solution:

⇒$D=\sqrt{(8.50)^2+(6.25)^2+(4.75)^2}$

⇒$\sqrt{72.25+39.0625+22.5625}$

⇒$\sqrt{133.875}$

⇒$\huge{\pink{\underbrace{\overbrace{11.5704364\: m}}}}$

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Formulas Used :-

• $D=\sqrt{l^2+b^2+h^2}$

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Answer 2

Step-by-step explanation:

The length, breadth and height of a room are 8m 50cm, 6m 25cm and 4m 75cm respectively. Find the length of the longest rod that can measure the dimensions of the room exactly.

✪ \huge{\green{\underline{\overline{\mathbf{Answer}}}}}

Answer

✪

⇒Given:

l = 8.50 m

b = 6.25 m

h = 4.75 m

⇒To Find:

Longest Rod = Longest Diagonal

⇒Solution:

⇒D=\sqrt{(8.50)^2+(6.25)^2+(4.75)^2}D=

(8.50)

2

+(6.25)

2

+(4.75)

2

⇒\sqrt{72.25+39.0625+22.5625}

72.25+39.0625+22.5625

⇒\sqrt{133.875}

133.875

⇒\huge{\pink{\underbrace{\overbrace{11.5704364\: m}}}}

11.5704364m