Question

find the diagonal of cuboid

Answer 1

l= 8cm

b= 6cm

h=2cm

diagonal= √(l²+b²+h²)

=√(64+36+4)

=√104

=2√26cm

so the diagonal of the cuboid is 2√26 cm

Answer 2

Question given:

To find the diagonal of the cuboid given.

Given:

• Lenght= 8 cm
• Breadth= 6 cm
• Height= 2 cm

To find:

→The diagonal AG of cuboid.

Solution:

We know that,

$\rm\blue{Diagonal~of~cuboid=}\sqrt\blue{l²+b²+h²}$

According to Question:

$\rm{Diagonal~of~cuboid=}\sqrt{l²+b²+h²}$

Putting the values,

$\rm{Diagonal~of~cuboid=}\sqrt{(8)²+(6)²+(2)²}$

$\rm{Diagonal~of~cuboid=}\sqrt{64+36+4}$

$\rm{Diagonal~of~cuboid=}\sqrt{100+4}$

$\rm{Diagonal~of~cuboid=}\sqrt{104}$

$\rm{Diagonal~of~cuboid=2}\sqrt{26}cm$

_____________________

$\sf\underline\red{More~information:-}$

Cuboid:

A solid attached by six rectangular plane faces is known as a cuboid.

$\rm\mapsto{Volume~of~cuboid=(length+breadth+height)cubic~units.}$

$\rm\mapsto{Diagonal~of~cuboid=}\sqrt{l²+b²+h²}$

$\rm\mapsto{Total~surface~area~of~cuboid=2(lb+bh+lb)}$

$\rm\mapsto{Lateral~surface~area~of~cuboid=[2(l+b)×h]}$

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⠀⠀⠀Hope it's helpful