Question

The length, breadth and thickness of a block are given by l = 12 cm, b = 6 cm and t = 2.45 cm respectively. then its volume with significant figures is

Answer 1

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❥ The length, breadth and thickness of a block are given by l=12 cm, b=6 cm and t=2.45 cm. The volume of the block according to the idea of significant figure should be :-

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⇒ The volume will contain only 1 significant figure .

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

❥ length of a block ↠ 12cm.

❥ Breadth of a block ↠ 6cm.

❥ thickness of a block ↠ 2.45cm.

$\Large{\underline{\underline{\bf{To find:-}}}}$

❥ The volume of the block according to the idea of significant figure should be :-

$\Large{\underline{\underline{\bf{SoLuTioN:-}}}}$

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❥ As we know that ,

$\large{\boxed{\bold{Volume\:of\:block\:=\:l\:×\:b\:×\:t}}}$

Now ,

✒ length ( l ) ↠ 12cm.

✒ Breadth ( b ) ↠ 6cm.

✒ thickness ( t ) ↠ 2.45cm.

Now ,

✒ putting the values in the above formula

we get ,

⇒ Volume of a block  ↠ 12 × 6 × 2.45

⇒   Volume of a block  ↠ 176.4 cm³

⇒ Volume of a block ↠ 176.4 × ( 10²/10² ) cm³

⇒  Volume of a block ↠ 1.764 × 10² cm³

⇒ Volume of a block ↠ 2 × 10² cm³        

The minimum number of significant figure is 1.

so, the volume will contain only 1 significant figure .

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