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Question

Physics Question on physical world

A cube has a side of length 1.2×10−2 m1.2 \times 10^{ - 2 }\, m. Calculate its volume.

A

1.7×10−6m31.7 \times 10^{ - 6 } m^3

B

1.73 ×10−6 m3\times 10^{ - 6 } \, m^3

C

1 . 70 ×10−6m3 \times 10^{ - 6 } m^3

D

1 . 732 ×10−6m3\times 10^{ - 6 } m^3

Answer

1.7×10−6m31.7 \times 10^{ - 6 } m^3

Explanation

Solution

V=l3=(1.2×10−2 m)3V = l^3 = ( 1 . 2 \times 10^{ - 2 } \, m)^3
= 1.728 ×10−6m3\times 10^{ - 6 } m^3
∵\because Length (l )has two significant figures, the volume (V) will also have two significant figures. Therefore, the 'correct answer is
V=1.7×10−6m3V = 1.7 \times 10^{-6} m^3