Question

Which of the following is not a derived quantity?

• A. The floor area of a room
• B. The height of a room
• C. The volume of air in a room
• D. The weight of air in a room

Answer 1

The correct option is B

The height of a room

The explanation for the correct options

(B) $\mathrm{Height}=\mathrm{Length}(\mathrm{fundamental}\mathrm{quantity})$

The explanation for the incorrect options

(A) $\mathrm{Area}=\mathrm{length}\times \mathrm{width}.$

$={\mathrm{m}}^2$

(C) $\mathrm{Volume}=\mathrm{Lengtth}\times \mathrm{width}\times \mathrm{height}.$

(D) $\mathrm{Weight}=\mathrm{mass}\times \mathrm{acceleration}\mathrm{due}\mathrm{to}\mathrm{gravity}.$

Hence option B is correct, the height of a room is the only quantity that is not a derived quantity.