Ncert Exercises & Solutions

The length, breadth, and thickness of a rectangular sheet of metal are $4.234$ m, $1.005$ m, and $2.01$ cm respectively. The area and volume of the sheet to correct significant figures are respectively:

1.	$8.723 ~\text{m}^2, 0.0855 ~\text{m}^3$
2.	$9.1 ~\text{m}^2, 0.855 ~\text{m}^3$
3.	$8.72 ~\text{m}^2, 0.085 ~\text{m}^3$
4.	$8.72 ~\text{m}^2, 0.0855~ \text{m}^3$

Hint: The area and volume must have $3$ significant figures in its final value after calculation.

Step 1: Find the area and volume of the sheet to correct significant figures.
The area of the sheet is given by;
$A=2(l\times b+b\times t+ t\times l) = 2(4.234\times 1.005+1.005\times 0.0201+0.0201\times 4.234)$
$\Rightarrow A= 8.72~\text{m}^2$
The volume of the sheet is given by;
$V = l \times b\times t= 4.234 \times 1.005 \times 0.0201$
$\Rightarrow V = 0.08552~\text{m}^3$
The volume of the sheet to correct significant figures is given by;
$V = 0.0855~\text{m}^3$
Hence, option (4) is the correct answer.

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