Question

The volume of a cuboid is 1080 cm the length is 15cm and breadth is 12cm. Find its height.​

Answer 1

Answer:

Volume of the cuboid = 1080cm³

Length of the cuboid = 15cm

Breadth of the cuboid = 12cm

Height of the cuboid = ?

Volume of a Cuboid = l×b×h

$1080 = 15 \times 12 \times h \\ 1080 = 180 \times h \: \: \: \: \: \: \: \: \\ h = \frac{1080}{180} = \frac{90}{15} = 6 \: cm$

Thus, the Height of the cuboid is 6cm.

Answer 2

★ Given :-

The volume of a cuboid is 1080 cm the length is 15cm and breadth is 12cm.

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★ To Find :-

The height of a cuboid

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★ Used Formula :-

$\color{navy}{⟼} \: \red{ \bf Volume \: _{(Cuboid)}= (Length×Breadth×Height)}$

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★ Solution :-

The volume of a cuboid is 1080cm

The Length of a cuboid is 15cm

The Breadth of a cuboid is 12cm

Where,

• Length = L
• Breadth = B

We know that,

$\: : \: ⟹ \: \red \: \bf Volume \: _{(Cuboid)}= (L×B×H)$

So,

$\: : \: ⟹ \: \red \: \bf 1080= 15 \times 12 \times H$

$\: : \: ⟹ \: \red \: \bf 1080=180\times H$

$\displaystyle\: : \: ⟹ \: \: \bf \cancel\frac{1080}{180} = H$

$\displaystyle\: \red{ : \: ⟹ \: \: \underline{\boxed{\bf H = 6 }}}$

∴ Height of a Cuboid is 6cm.

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★ Verification :-

$\: : \: ⟹ \: \red \: \bf Volume \: _{(Cuboid)}= (L×B×H)$

$\: : \: ⟹ \: \red \: \bf 1080= 15 \times 12 \times 6$

$\: : \: ⟹ \: \red \: \bf 1080=180\times 6$

$\: : \: ⟹ \: \: \boxed{ \bf 1080=1080}$

Hence, verified !

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