For us to determine the answer to this item, we use the appropriate conversion factor and dimensional analysis.
We convert each of the choices to cm³. If it gives a value of 3.7 then, that is the answer/s.
(A) Use the conversion factor, 1 m = 100 cm
(3.7 x 10⁻³ m³)(100 cm/ 1 m)³ = 3700 cm³ (NOT THE ANSWER)
(B) Use the following conversion factors: 10 dm = 1 m, 1 m = 100 cm
(3.7 x 10⁻3 dm³)(1 m / 10 dm)³(100 cm/1 m)³ = 3.7 cm³ (ANSWER)
(C) (3.7 x 10⁻² m³)(100 cm/1 m)³ = 37000 cm³ (NOT THE ANSWER)
(D) (3.7 x 10⁻6 dm³)(1 m/10 dm)³(100 cm/1 m)³ = 3.7 x 10⁻³ cm³ (NOT THE ANSWER)
Hence, the answer is letter B.
