Question

Find the diagonal of the cuboid with demensions 1cm×3cm×5cm

Answer 1

The diagonal of the cuboid (d) is equal to $\sqrt{35}$ cm.

Step-by-step explanation:

Given,

The demensions of cuboid 1 cm × 3 cm × 5 cm

Here, length (l) = 1 cm, breadth (b) = 3 cm and height (h) = 5 cm

To find, the diagonal of the cuboid (d) = ?

We know that,

The diagonal of the cuboid (d) = $\sqrt{l^{2}+b^{2}+h^{2}}$

$=\sqrt{1^{2}+3^{2}+5^{2}}$

$=\sqrt{1+9+25}$

$=\sqrt{35}$ cm

∴ The diagonal of the cuboid (d) $=\sqrt{35}$ cm

Thus, the diagonal of the cuboid (d) is equal to $\sqrt{35}$ cm.