Which of the following is equal to 3.7 cm3? a. 3.7 x 10-3 m3 b. 3.7 x 10-3 dm3 c. 3.7 x 10-2 m3 d. 3.7 x 10-6 dm3

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. 

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