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The length , breadth and thickness of a ...

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

Text Solution

Verified by Experts

Here, length l = 4.234 m,
`" "`Breadth, b = 1.005 m
Thickness, `t=2.01 cm=2.01 times 10^(-2)m`
Area of the sheet `=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)`
`=2(4.3604739)=8.7209478" "m^(2)`
As area can contain a maximum of three significant digits, therefore, rounding off, we get
Area = `8.72m^(2)`
Also, volume `=l times b times t`
`" "V=4.234 times 1.005 times 0.0201`
`" "V=0.0855289`
`" "V=0.855m^(3)`
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