Question

The area of a surface can be measured in units of square meters (m^2). Which of the following combinations of units could not be used to measure area?

a)m.cm

b)ft^3/m^2

c)in^2

d)m.ft

e)ft^3/m

Answer 1

Option B is the answer.

Explanation:

The area of a surface can be measured in square meter (meter²).

Square meter means its a multiplication of two lengths measured in meter.

Option A.

m.cm = unit of length × unit of length

So we can measure the area by this unit.

Option B.

`(ft^(3) )/(m^(2) )`

Since ft³ is a unit of volume and m² of area. When we divide these units we get the unit of length.

Therefore, we can not measure the area by this unit.

Option C.

Inch² = unit of length × unit of length

So we can measure the area by this unit.

Option D.

m.ft = Unit of length × unit of length

Which shows its a unit of area.

Option E.

`(ft^(3) )/(m)` =
`\frac{\text{Unit of volume}}{\text{Unit of length}}`

= unit of area

Therefore, we can use this unit to measure the area.

Option B. is the answer.