First slide

Accuracy; precision of instruments and errors in measurements

Question

A cube has a side of length $2.342 m$ . Find the surface area and volume in correct significant figures.

Moderate

A

$5.485 m^{2} a n d 12.85 m^{3}$
B

$5.485 m^{2} a n d 15.85 m^{3}$
C

$7.485 m^{2} a n d 12.85 m^{3}$
D

$7.485 m^{2} a n d 15.85 m^{3}$

Solution

$V = a^{3}$
$= (2.342 m)^{3}$
$= 12.84578569 m^{3}$
$= 12.85 m^{3}$ (rounding off to four significant digits)
$S = a^{2} = (2.342)^{2} m^{2}$
$= 5.484964 m^{2}$
$= 5.485 m^{2}$ (rounding off to four significant digits)

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