the Length breadth and thickness of a rectangular sheet of metal are 4.234 ,1.005 metre and 2.01 respectively Give the area of the sheet to correct significant figures
Answers
The area of the sheet to correct significant figures is 8.72 m².
Explanation:
The length of the rectangular sheet, l = 4.234 m
The breadth of the rectangular sheet, b = 1.005 m
The height of the rectangular sheet, h = 2.01 cm = 0.0201 m
We have to find the area of the rectangular sheet whose value must have the least significant figures i.e. 3.
Therefore,
The Surface area of the rectangular sheet is given by,
= 2 [(l×b) + (b×h) + (h×l)]
= 2 [(4.234 × 1.005) + (1.005 × 0.0201) + (0.0201 × 4.234)]
= 2 [4.25517 + 0.02020 + 0.08510]
= 2 × 4.360 47
= 8.72094
≈ 8.72 m² ← corrected up to 3 significant figures
Thus, the area of the sheet is 8.72 m².
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