Question

the length ,breadth and height of a cuboid is 8m,6m and 4m.find it's diagonal.

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Answer 1

Given :

• Length of the cuboid = 8 m.

• Breadth of the diagonal = 6 m.

• Height of the diagonal = 4 m.

To find :

The Length of the diagonal of the cuboid.

Solution :

We know the formula for length of the diagonal for a cuboid ,i.e,

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

Where :

• l = Length of the cuboid.
• b = Breadth of the cuboid.
• h = Height of the cuboid.
• D = Diagonal of the cuboid.

Now by using the formula for Diagonal of a cuboid and substituting the values in it, we get :

$:\implies \bf{D = \sqrt{l^{2} + b^{2} + h^{2}}}$

$:\implies \bf{D = \sqrt{8^{2} + 6^{2} + 4^{2}}}$

$:\implies \bf{D = \sqrt{64 + 36 + 16}}$

$:\implies \bf{D = \sqrt{116}}$

$:\implies \bf{D = \sqrt{2 \times 2 \times 29}}$

$:\implies \bf{D = 2\sqrt{29}}$

$\boxed{\therefore \bf{D = 2\sqrt{29}}}$

Hence the diagonal of the cuboid is 2√29 cm.

Answer 2

Answer:

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Step-by-step explanation:

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