Question

A 10-ft moving truck has a volume capacity of 402 cubic feet, which is equivalent to 1.138 x 10⁷ milliliters. What mass of silver, in megagrams, will fit in this moving truck? The density of silver is 10.49 g/mL.

Answer 1

The mass of silver is
`1.19* 10^(14)\ Mg`

Step-by-step explanation:

Given that,

The volume of the truck is 402 cubic feet or 1.138 x 10⁷ mm.

The density of silver is 10.49 g/mL.

We need to find the mass of silver that will fit in this moving truck. Density equals mass divided by volume. So,

`d=(m)/(V)\\\\\text{where m is mass}\\\\m=d* V\\\\m=10.49\ g/mL* 1.138 * 10^7\ mL\\\\m=119376200\ g`

1 gram = 10⁻⁶ Megagram

`119376200=1.19* 10^(14)\ Mg`

Hence, the mass of silver is
`1.19* 10^(14)\ Mg`