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

Question

A cube has a side of length 1.2× 10-2m. Its volume up to correct significant figures is (A) 1.7 × 10-6m3 (B) 1.73× 10-6m3 (C) 1.70 × 10-6m3 (D) 1.732× 10-6m3

Tardigrade Admin · Accepted Answer

Here Length of the cube, L = 1.2 × 10-2 m Volume of the cube, V=(1.2×10-2m)3 = 1.728 × 10-6m3 As the result can have only two significant figures therefore, on rounding off, we get V=1.7 × 10-6m3

Q. A cube has a side of length $1.2 \times 1 0^{- 2} m$ . Its volume up to correct significant figures is

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

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

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

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

Here
Length of the cube, $L = 1.2 \times 1 0^{- 2} m$

Volume of the cube, $V = (1.2 \times 1 0^{- 2} m)^{3}$
$= 1.728 \times 1 0^{- 6} m^{3}$
As the result can have only two significant figures
therefore, on rounding off, we get
$V = 1.7 \times 1 0^{- 6} m^{3}$

Q. A cube has a side of length 1.2×10−2m. Its volume up to correct significant figures is

1.7×10−6m3

1.73×10−6m3

1.70×10−6m3

1.732×10−6m3