WEBVTT
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Which of the following is a unit of area?
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A) Meter per second squared, B) centimeter, C) cubic meter, D) square meter.
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We know that an area involves units of length times length, or length squared.
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As we evaluate our options then, we’ll look for this length-squared value.
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Considering option A, meters per second squared, the dimensions of that term is a length times a time to the negative two.
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Since we’re looking for a length times a length, or a length squared, we know that A is not a unit of area.
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Next, we consider the centimeter.
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The centimeter is itself a length.
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But again, since we’re looking for length squared, length to the first power isn’t an area.
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Moving on to consider a cubic meter, the dimensions of a cubic meter are length times length times length, or length cubed.
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This is close, but we want length squared.
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So this means that a cubic meter is not a unit of area.
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Finally, we consider the square meter.
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A square meter has dimensions of length times length, or length squared.
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As we compare this with our diagram, we see that this will indeed give us an area.
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This means that option D, the square meter, is a unit of area.