Question

the length , width and height of a cuboid are 9cm, 12cm and 20cm respectively find the diagonal of cuboid ​

Answer 1

Answer:25 cm

Step-by-step explanation:

Diagonal of cuboid=√l²+b²+h²

=√(9)²+(12)²+(20)²

=√81+144+400

=√625

=25 cm

Answer 2

Given :

• Length of cuboid : 9 cm
• Width of cuboid : 12 cm
• Height of cuboid : 20 cm

To Find :

• Diagonal of the cuboid.

Solution :

We have the length, width and height so just blocking in these data in the formula we can find the diagonal.

Formula :

$\large{\boxed{\sf{\red{Diagonal_{cuboid}\:=\:{\sqrt{l^2\:+\:b^2\:+\:h^2}}}}}}$

Where,

• l = length
• b = breadth / width
• h = height

$\longrightarrow$ $\mathtt{\sqrt{9^2\:+\:12^2\:+\:20^2}}$

$\longrightarrow$ $\mathtt{\sqrt{81\:+\:144\:+\:400}}$

$\longrightarrow$ $\mathtt{\sqrt{625}}$

$\longrightarrow$ $\mathtt{25}$

$\large{\boxed{\mathtt{\blue{Diagonal\:of\:cuboid\:=\:25\:cm}}}}$