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Question: A cube has a side of length 1.2×10<sup>-2</sup> m. Its volume upto correct significant figures is...

A cube has a side of length 1.2×10-2 m. Its volume upto correct significant figures is

A

1.7 × 10-6 m3

B

1.73 × 10-6 m3

C

1.70 × 10-6 m3

D

1.732 × 10-6 m3

Answer

1.7 × 10-6 m3

Explanation

Solution

Here

Length of the cube , L=1.2×10−2 m\mathrm { L } = 1.2 \times 10 ^ { - 2 } \mathrm {~m}

Volume of the cube, V=(1.2×10−2 m)3V = \left( 1.2 \times 10 ^ { - 2 } \mathrm {~m} \right) ^ { 3 }

=1.728×10−6 m3= 1.728 \times 10 ^ { - 6 } \mathrm {~m} ^ { 3 }

As the result can have only two significant figures therefore, on rounding off, we get

V=1.7×10−6 m3\mathrm { V } = 1.7 \times 10 ^ { - 6 } \mathrm {~m} ^ { 3 }