Question

find the length of the longest diagonal of a cuboid whose dimensions are 9cm, 12cm and 8cm​

Answer 1

Step-by-step explanation:

Length of the diagonal of the cuboid =

$\sqrt{9 {}^{2} + 12 {}^{2} + 8 {}^{2} }$

$= \sqrt{81 + 144 + 64}$

$= \sqrt{289}$

$= 17cm$

Answer 2

Given,

A cuboid with dimensions,

l  = 12cm

b = 9cm

h = 8cm

To Find,

Length of the longest diagonal

Solution,

We know that,

In case of cuboids,

The formula for length of the longest diagonal is,

= $\sqrt{l^{2} + h^{2} + b^{2} }$

= $\sqrt{12^{2} + 9^{2} + 8^{2} }$

= $\sqrt{144 + 81 + 64}$

= $\sqrt{289}$

= 17cm

The length of the longest diagonal of a cuboid is 17cm