Chapter SH, Problem 1.6APP

To determine

To Calculate:Thevolume of the bottle incubic meters.

Answer to Problem 1.6APP

The volume of the bottle in cubic meters is $\text{0}{\text{.002 m}}^3$ .

Explanation of Solution

Given data:

Volume of the bottle in cubic centimeters $=2000{\text{ cm}}^3$

Formula used:

  $1\text{ meter}=100\text{ centimeter}$

Calculation:

As per the problem,

Volume of the bottle in cubic centimeters $=2000{\text{ cm}}^3$

Since,

  $\begin{array}{l}1\text{ m}=100\text{ cm}\\ {\text{1 m}}^3=1\text{ m}\times \text{1 m}\times \text{1 m}=100\text{ cm}\times 100\text{ cm}\times 100\text{ cm}={10}^6{\text{ cm}}^3\end{array}$

Volume in cubic meters = Volume in ${\text{cm}}^3\times \frac{1{\text{ m}}^3}{{10}^6{\text{ cm}}^3}$

Substituting volume in cubic centimeters $=2000{\text{ cm}}^3$

Volume in cubic meters $={\text{2000 cm}}^3\times \frac{1{\text{ m}}^3}{{10}^6{\text{ cm}}^3}=0.002{\text{ m}}^3$

Conclusion:

The volume of the bottle in cubic meters is $\text{0}{\text{.002 m}}^3$ .