Question

16 formula 1 point an unknown regular solid has dimensions as shown in the diagram above. if the density of the regular solid is 19.6 g/cm³, what is its mass of the object in grams? express your answer with one decimal place. answer 17 multiple choice 1 point which of these is a homogeneous mixture? tea sand and water sio₂ copper

Explanation:

Step1: Calculate volume of the solid

The solid is a rectangular - prism. The volume formula for a rectangular - prism is $V = l\times w\times h$, where $l = 4.7$ cm, $w = 2.3$ cm and $h = 0.9$ cm.
$V=4.7\times2.3\times0.9$
$V = 4.7\times2.07$
$V = 9.729$ $cm^{3}$

Step2: Calculate mass using density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. Rearranging for mass gives $m=
ho\times V$. Given $
ho = 19.6$ g/$cm^{3}$ and $V = 9.729$ $cm^{3}$.
$m=19.6\times9.729$
$m = 190.6884$ g
Rounding to one decimal place, $m\approx190.7$ g

Step3: Answer question 17

A homogeneous mixture has a uniform composition throughout. Tea is a homogeneous mixture as the components are uniformly distributed. Sand and water is a heterogeneous mixture as sand settles down. $SiO_{2}$ (silicon dioxide) is a compound, not a mixture. Copper is an element, not a mixture.

Answer:

1. $190.7$
2. tea