Question

What volume is equivalent to 0.0015 m3?

A. 1.5 x 10‒5 cm3

B. 1.5 x 10‒3 cm3

C. 1.5 x 104 mm3

D. 1.5 x 106 mm3

Answer 1

Answer : Option 'D' is correct.

`0.0015m^(3)` =
`1.5* 10^(6)mm^(3)`

Explanation 1) : 1 m = 100 cm

`1 m^(3)= 1000000 cm^(3)` or
`1 m^(3)= 10^(6) cm^(3)`

`(0.0015m^(3))* ((1000000cm^(3)))/((1m^(3)))`

`(0.0015)* ((1000000cm^(3)))/((1))` =
`1500cm^(3)`

`0.0015m^(3)` =
`1500cm^(3)` =
`1.5* 10^(3)cm^(3)`

Explanation 2) : 1 m = 1000 mm

`1m^(3)= 1000000000mm^(3) = 10^(9)mm^(3)`

`(0.0015m^(3))* ((10^(9)mm^(3)))/((1m^(3)))`

`(0.0015)* ((10^(9)mm^(3)))/((1))` =
`1500000 mm^(3)`

`0.0015m^(3)` =
`1500000 mm^(3)` =
`1.5* 10^(6)mm^(3)`

Option 'D' is right.