Dimensional analysis - Intermediate & Higher test questions

1

\({a}\), \({b}\) and \({c}\) represent lengths.

Which of the following expressions could be a length?

2

\({a}\), \({b}\) and \({c}\) represent lengths.

Which of the following expressions represents a length?

3

\({a}\), \({b}\) and \({c}\) represent lengths.

Which of the following expressions represents an area?

4

\({a}\), \({b}\) and \({c}\) represent lengths.

Which of the following expressions represents an area?

5

\({a}\), \({b}\), \({c}\) and \({h}\) all represent lengths.

Which of the following expressions represents a volume?

6

\({a}\), \({b}\), \({c}\) and \({r}\) all represent lengths.

Which of the following expressions represents a volume?

7

\({a}\), \({b}\) and \({c}\) represent lengths.

Does the following expression represent a length, area or volume?

\({ab} - {c}\)2

8

\({a}\), \({b}\) and \({c}\) represent lengths.

Does the following expression represent a length, area or volume?

\[{a}{(b^2 + c^2)}\]

9

\({a}\), \({b}\) and \({c}\) represent lengths.

Does the following expression represent a length, area or volume?

\[\frac{3c^4}{4a^3}\]

10

\({a}\), \({b}\) and \({c}\) represent lengths.

Does the following expression represent a length, area or volume?

\[\frac {a^2}{bc}\times\frac{c^2}{b}\]