Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

challenge question! calculate the density of a 1594 g block of lead tha…
16,357 Learners found this answer helpful

Question

challenge question! calculate the density of a 1594 g block of lead that has dimensions of 4.50 cm x 5.20 cm x 6.00 cm.

Explanation:

Step1: Calculate the volume of the block

The volume $V$ of a rectangular - shaped block is given by $V = l\times w\times h$, where $l = 4.50$ cm, $w = 5.20$ cm and $h = 6.00$ cm.
$V=4.50\times5.20\times6.00$ cm³$=140.4$ cm³

Step2: Calculate the density

The density $
ho$ is given by the formula $
ho=\frac{m}{V}$, where $m = 1594$ g and $V = 140.4$ cm³.
$
ho=\frac{1594}{140.4}\text{ g/cm}^3\approx11.35$ g/cm³

Answer:

$11.35$ g/cm³