Question

You measure a small block of gold (D=19.3g/cm3) to be 2.777 inches long, 2.434 inches wide, and 1.688 inches high. What is the mass of the gold block in kg? (2.54cm=1inch exactly)

Answer 1

3.608 kg

Step-by-step explanation:

Given that:

l = 2.777 inch

b = 2.434 inch

h = 1.688 inch

`Volume\ of\ the\ cube=l* b* h`

Thus,

`Volume_(gold)=2.777* 2.434* 1.688\ {inch}^3`

`Volume_(gold)=11.4095\ {inch}^3`

1 inch = 2.54 cm

So,
`1\ {inch}^3=({2.5})^3\ cm^3`

`Volume_(gold)=186.9682\ {cm}^3`

Given: Density = 19.3 g/cm³

`Density=\frac {Mass}{Volume}`

So, Mass= density * Volume = 19.3 g/cm³ * 186.9682 cm³ = 3608.48626 g

1 g = 0.001 kg

So, Mass = 3.608 kg