Question

1. a rectangular block of copper metal has a mass of 1896 g. the dimensions of the block are 8.4 cm by 5.5 cm by 4.6 cm. from this data, what is the density of copper? (d = m/v)

Explanation:

Step1: Calculate volume of the block

The volume $V$ of a rectangular - block is given by $V = l\times w\times h$, where $l = 8.4$ cm, $w = 5.5$ cm and $h = 4.6$ cm. So $V=8.4\times5.5\times4.6$ $cm^3$.
$V = 8.4\times5.5\times4.6=8.4\times25.3 = 212.52$ $cm^3$.

Step2: Calculate density

The density formula is $D=\frac{M}{V}$, where $M = 1896$ g and $V = 212.52$ $cm^3$.
$D=\frac{1896}{212.52}\approx8.92$ g/$cm^3$.

Answer:

$8.92$ g/$cm^3$