Question

the dimension of a cuboid are 5cm multiplied 4cm multiplied 2cm . find its diagonal

Answer 1

l = 5 cm
b = 4 cm
and, h = 2 cm

So, Diagonal of Cuboid = √(l² + b² + h²)
                                      = √(5² + 4² + 2²)
                                      = √(25+16+4)
                                      = √(45)
                                      = 3√5 cm

Answer 2

The diagonal of a cuboid $=3\sqrt{5}cm$.

Step-by-step explanation:

Here, the dimension of cuboid = $5cm\times 4cm\times 2 cm.$

∴ Length(l) = 5 cm, breadth(l) = 4 cm and height(h) = 2 cm

To find, the diagonal of a cuboid = ?

∴ The diagonal of a cuboid = $\sqrt{l^{2} +b^{2}+h^{2}  }$

$= \sqrt{5^{2} +4^{2}+2^{2}}$

$= \sqrt{25 +16+4}$

$= \sqrt{45}$

$= \sqrt{3\times 3\times 5}$

$= 3\sqrt{5}$ cm

Hence, the diagonal of a cuboid $=3\sqrt{5}cm$.