Question

A cuboid has a volume of 1,200 cm3. If the length and width of the cuboid are
20 cm and 10 cm respectively, then the height of the cuboid is​​

Answer 1

Answer:

Hint: Here we will proceed to the solution by using the formula of the volume of the cube, which includes length, breadth and height from which we can get the height of the cuboid.

Given that the volume of cuboid is 1200cm3.

And also given length (l) =15cm and breadth (b) =10cm.

Now let us consider height of cuboid as h cm

We know that

Volume of cuboid =l×b×h

Where l is length, b is the breadth and h is the height of cuboid.

Now on using the formula, we can write

⇒1200=15×10×h⇒h=120015×10⇒h=8

Therefore height of a cuboid =8cm

NOTE: In this problem volume of a cuboid is given along with length and breadth where we have to find height. As we know that the volume of cuboid is lbh. So now on substituting the values in the formula we get the height of the cuboid. Here we have to make a note that measures units of length, breadth and height is cm. Don’t miss mentioning the units after finding the value.

Step-by-step explanation:

Answer 2

★ Given:-

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• Volume of the cuboid = 1200 cm³
• Length = 20 cm
• Breadth = 10 cm

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★ To find:-

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• The height of the cuboid

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★ Formula Used:-

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• $\large \boxed{ \sf{volume \:_{( \: cuboid \: )} \: = \: l \: \times \: b \: \times \: h}}$

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Where,

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• l = Length of the cuboid
• b = breadth of the cubiod
• h = height of the cuboid

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★ Solution:-

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Let,

   The height of the cuboid be = x cm

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$\qquad\sf{ : \implies \: Volume \:_{( \: CUBOID \: )} \: = \: l \: \times \: b \: \times \: h}$

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$\qquad\sf{ : \implies \: 1200 \: = \: 20\: \times \: 10 \: \times \: x}$

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$\qquad\sf{ : \implies \: 1200 \: = \: 200\times \: x}$

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$\qquad\sf{ : \implies \:x \: = \: \dfrac{1200}{200}}$

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$\qquad\sf{ : \implies \:x \: = \: \dfrac{12}{2}}$

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$\qquad\sf{ : \implies \:x \: = \: 6 \: cm}$

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. ° . The Height of the cuboid is 6 cm.

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★ Answer:-

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• The Height of the cuboid is 6 cm.

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