Units of Measurement MCQ with answer and solution

Concept

Area unit conversions

Formula

1 sq mile = 2.59 km² = 259 ha = 640 acres

Step-by-step solution

1. 1 mile = 1.609 km, so 1 sq mile = 2.59 km². 2. 1 km² = 100 ha, so 2.59 km² = 259 ha. 3. 1 sq mile = 640 acres. 4. 1 km² = 10¹⁰ cm², so 1 sq mile = 2.59 × 10¹⁰ cm², not 10⁹ cm².

Explanation

The first three conversions are standard. A square mile in cm² is about 2.59 × 10¹⁰, so the last statement is incorrect.

Why the other options are wrong

Options (a), (b) and (c) are correct conversions.

Shortcut

1 sq mile = 640 acres = 259 ha = 2.59 km².

Common mistake

Choosing a correct conversion in a "not correct" question.