A cube has a side of length 1.2 × 10 - 2 m. Calculate its volume.

Question

A cube has a side of length 1.2 × 10 - 2 m. Calculate its volume. (A) 1.7 × 10-6 m 3 (B) 1.73 × 10-6 m 3 (C) 1.70 × 10-6 m 3 (D) 1.732 × 10-6 m 3

Tardigrade Admin · Accepted Answer

V =l3=(1.2 × 10-2 m )3 =1.728 × 10-6 m 3 ∵ Length (l) has two significant figures, the volume (V) will also have two significant figures. Therefore, the 'correct answer is V=1.7 × 10-6 m 3

Q. A cube has a side of length $1.2 \times 1 0^{- 2} m$ . Calculate its volume.

$1.7 \times 1 0^{- 6} m^{3}$

$1.73 \times 1 0^{- 6} m^{3}$

$1.70 \times 1 0^{- 6} m^{3}$

$1.732 \times 1 0^{- 6} m^{3}$

$V = l^{3} = (1.2 \times 1 0^{- 2} m)^{3}$
$= 1.728 \times 1 0^{- 6} m^{3}$
$∵$ Length $(l)$ has two significant figures, the volume $(V)$ will also have two significant figures.
Therefore, the 'correct answer is
$V = 1.7 \times 1 0^{- 6} m^{3}$

Q. A cube has a side of length 1.2×10−2m. Calculate its volume.

1.7×10−6m3

1.73×10−6m3

1.70×10−6m3

1.732×10−6m3