Chapter 1, Problem 1OQ

To determine

How many ${\text{cm}}^3$ are in ${\text{1m}}^3$ ?

Answer to Problem 1OQ

Solution: ${\text{1000000 cm}}^{\text{3}}$ form $\text{1}\text{.0}{\text{m}}^{\text{3}}$ . So, option F. $\text{1000000 }$ is correct.

Explanation of Solution

Formula Used:

  $\text{1 m}=\text{100 cm}$

Calculation:

  $\begin{array}{l}\text{1}{\text{m}}^{\text{3}}\text{= 1 m × 1 m × 1 m}\\ {\text{1m}}^3=\text{1}\text{m × }\left(\frac{\text{100cm}}{\text{m}}\right)\times \text{1}\text{m × }\left(\frac{\text{100cm}}{\text{m}}\right)\times \text{1}\text{m × }\left(\frac{\text{100cm}}{\text{m}}\right)\\ \text{1}{\text{m}}^{\text{3}}{\text{=1000000 cm}}^{\text{3}}\\ \frac{\text{1}{\text{m}}^{\text{3}}}{{\text{cm}}^{\text{3}}}=\text{1000000 }\end{array}$

Conclusion:

Thus, in ${\text{1m}}^3$ , there are ${\text{1000000 cm}}^{\text{3}}$ .