Question

the dimensions of cuboid are 5cm, 4cm, 2cm. find diagonal
i) 3√5
ii) 4√5
iii) 2√3
iv) 4√3​

Answer 1

★ Given :

• Dimensions of cuboid are 5cm, 4cm, 2cm.

★ To Find :

• Diagonal ?

★ Solution :

• Length ( l ) = 5cm
• Breadth ( b ) = 4cm
• Height ( h ) = 2cm

◆ We know that,

✦［ Diagonal of cuboid = √(l² + b² + h²) ］✦

◆ Now, Substitute the value :-

= √(5² + 4² + 2²)

= √( 25 + 16 + 4)

= √(45)

= 3√(5) cm.

■ Hence, the (i) option is correct✔

Answer 2

Given :-

• Dimensions of cuboid are 5cm, 4cm, 2cm.

To find :-

• Diagonal ?

Solution :-

• Length ( l ) = 5cm
• Breadth ( b ) = 4cm
• Height ( h ) = 2cm

★ We know that,

★ [ Diagonal of cuboid = √(l² + b² + h²) ] ★

★ Now, substitute the value :-

= √(5² + 4² + 2²)

= √(25 + 16 + 4)

= √(45)

= 3√(5) cm.

Hence,

• The (i) option is correct ✓