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

Answer:

3.608 kg

Explanation:

Given that:

l = 2.777 inch

b = 2.434 inch

h = 1.688 inch

$Volume\ of\ the\ cube=l\times b\times h$

Thus,

$Volume_{gold}=2.777\times 2.434\times 1.688\ {inch}^3$

$Volume_{gold}=11.4095\ {inch}^3$

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