# A rectangular block of lead measures 7cmx5cmx2cm find the volume & mass of the block of lead?

May 25, 2018

$\text{ The mass" =794 "grams and the volume} = 70 c {m}^{3}$

#### Explanation:

$7 c m \times 5 c m \times 2 c m = 70 c {m}^{3}$

$\text{Let's convert the cm to m}$

$\therefore 100 c m = 1 m$

$\therefore 7 c m = \frac{7}{100} = 0.07 m$

$\therefore 5 c m = \frac{7}{100} = 0.05 m$

$\therefore 2 c m = \frac{7}{100} = 0.02 m$

$\therefore 0.07 \times 0.05 \times 0.02 = 0.00007 {m}^{3}$

$\therefore 1 {m}^{3}$ of lead$= 11340 k g$

$\therefore 0.00007 {m}^{3}$ of lead$= 0.00007 \times 11340 = 0.7938 k g$

$\therefore 1 k g = 1000 g r a m s$

$\therefore 0.7938 \times 1000 = 793.8 g r a m s$

$\therefore = 794 g r a m s$ $\text{to the nearest gram}$