Ch.1 - Intro to General ChemistryWorksheetSee all chapters
All Chapters
Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds
Sections
Mixtures
Scientific Notation
Accuracy & Precision
Standard Deviation, Mean, Median & Mode
Metric Prefixes
Significant Figures
Energy, Heat and Temperature
Physical & Chemical Changes
Dimensional Analysis
Density
End of Chapter 1 Problems
Additional Practice
The Scientific Method
Filtration
Physical & Chemical Properties
Types of Energy
LearnAdditional PracticeSummary
Next SectionEnd of Chapter 1 Problems

Solution: A small cube of aluminum measures 15.6 mm on a side and weighs 10.25 g. What is the density of aluminum in g/cm3?

Solution: A small cube of aluminum measures 15.6 mm on a side and weighs 10.25 g. What is the density of aluminum in g/cm3?

Problem

A small cube of aluminum measures 15.6 mm on a side and weighs 10.25 g. What is the density of aluminum in g/cm3?

Solution

We can solve this problem by first finding the volume of cube.


Since it’s a cube, all of its sides have equal lengths.

The volume of cube is given by:

<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>V</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><msup><mfenced><mi>a</mi></mfenced><mn>3</mn></msup><mspace linebreak="newline"></mspace><mi>w</mi><mi>h</mi><mi>e</mi><mi>r</mi><mi>e</mi><mo>,</mo><mo>&#xA0;</mo><mi>a</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mi>l</mi><mi>e</mi><mi>n</mi><mi>g</mi><mi>t</mi><mi>h</mi><mo>&#xA0;</mo><mi>o</mi><mi>f</mi><mo>&#xA0;</mo><mi>s</mi><mi>i</mi><mi>d</mi><mi>e</mi></math>


Let’s start by converting the side from mm to cm.


View the complete written solution...
Next
Practice Problems
Substance A has a density of 1.7 g/cm3. Substance ...
A 200-mL Erlenmeyer flask weighs 218.5 grams when ...
The density of magnesium is 1.7 g/cm3, while that ...
What volume of alcohol (d = 0.800 g/mL) is needed ...
The density of vanadium metal is 6.00 g/cm 3. What...
A container that can hold 6780 g Hg can only hold ...
A new penny has a mass of 2.49 g and a volume of 0...
Human fat has a density of 0.918 g/cm 3. How much ...
The density of titanium is 4.51 g/cm3. What is the...
Answer the following questions.A certain type of w...
Answer the following questions.A particular sample...
A bag of Hersheys Kisses contains the following in...
A sample of tetrachloroethylene, a liquid used in ...
Ocean currents are measured in Sverdrups (sv) wher...
Hydrogen cyanide, HCN, is a poisonous gas. The let...
A flask containing 7.50 mL of a liquid wei...
A flask containing 15.0 mL of a liquid wei...
The density of air at ordinary atmospheric pressur...
What is the density of glass in g/cm3 if a sample ...
Water has a density of 0.997 g/cm3 at 25 oC; ice h...
Water has a density of 0.997 g/cm3 at 25 oC; ice h...
Gold is alloyed (mixed) with other metals to incre...
The density of titanium is 4.51 g/cm3.What is the ...
Liquid nitrogen has a density of 0.808 g/mL and bo...
Automobile batteries contain sulfuric acid, which ...
A 40-lb container of peat moss measures 14in 20lb ...
In 2009, a team from Northwestern University and W...
In 2009, a team from Northwestern University and W...
In 2009, a team from Northwestern University and W...
Chloroform, a substance once used as an anesthetic...
A new penny has a mass of 2.49 g and a vol...
Ethylene glycol (antifreeze) has a density of 1.11...
Ethylene glycol (antifreeze) has a density of 1.11...
A vessel contains 5.50 L of concentrated...
Very small semiconductor crystals composed of appr...
Answer the following questions.An old rule of thum...
Very small semiconductor crystals composed of appr...
Will tetrachloroethylene float on water? (Material...
Lignum vitae is a hard, durable, and extremely den...
Substance A has a density of 1.7 g/cm3. Substance ...
For each box below, examine the blocks attached to...
For each box below, examine the blocks attached to...
For each box below, examine the blocks attached to...
Two spheres of equal volume are placed on the scal...
Which block in the following drawing of a balance ...
Which block in the following drawing of a balance ...
Approximate the percent increase in waist size tha...
Neutron stars are believed to be composed of solid...
Neutron stars are believed to be composed of solid...
Carbon-12 contains 6 protons and 6 neutrons. The r...
Carbon-12 contains 6 protons and 6 neutrons. The r...
You are given a cube of silver metal that measures...
You are given a cube of silver metal that measures...
Lignum vitae is a hard, durable, and extremely den...
The single proton that forms the nucleus of the hy...
In 1999, scientists discovered a new class of blac...
A thief plans to steal a gold sphere with a radius...
A calibrated flask was filled to the 25.00 mL mark...
You are beachcombing on summer vacation and find a...
You would like to determine if a set of antique si...
You would like to determine if a set of antique si...
An experiment is performed to determine if pennies...
An experiment is performed to determine if pennies...
A supposedly gold nugget displaces 18.1 mL ...
The element gallium (Ga) has the second largest li...
What is the density of lead (in g/cm3 ) if a recta...
Nanotechnology, the field of trying to build ultra...
Nanotechnology, the field of trying to build ultra...
What is the density of lead (in g/cm3 ) if a recta...
Brass is a copper-zinc alloy.What is the mass in g...
A steel cylinder has a length of 2.16 in, a radius...
Mercury is often used as an expansion medium in a ...
The U.S. Mint produces a dollar coin called the Am...
A U.S. 1-cent coin (a penny) has a diameter of 19 ...
A thief uses a can of sand to replace a solid gold...
A thief uses a can of sand to replace a solid gold...
The single proton that forms the nucleus of the hy...
A cube of osmium metal 1.500 cm on a side has a ma...
The density of titanium metal is 4.51 g/cm3 at 25 ...
The density of benzene at 15 °C is 0.8787 g/ mL. C...
The density of osmium (the densest metal) is 22.57...
A copper wire (density = 8.96 g/cm3) has a diamete...
A sheet of copper is 18.0 in x 7.00 in and a mass ...
Lead metal can be extracted from a mineral called ...
After the label fell off a bottle containing a cle...
An experiment requires 15.0 g of cyclohexane, whos...
A cylindrical rod formed from silicon is 16.8 cm l...
Silicon for computer chips is grown in large cylin...
For each box, examine the blocks attached to the b...
A cube of aluminum metal contains 3.35 x 1023 atom...
Titanium metal, density of 4.54 g/cm3, is used to ...
The density of dichloromethane, an organic solvent...
The density of aluminum is 2.70 ×10 3 kg/m3. Calcu...
A sample has a density of 1.05 g/mL. What is the v...
For each of the following, decide which block is m...
For each of the following, decide which block is m...
For each of the following, decide which block is m...
For each of the following, decide which block is m...
A student is trying to find out what metal the yar...
A sample of unknown metal is placed in a graduated...
You are given a marble made up of one of the metal...
The density of iron is 7.87g/ml . What is the mass...
The density of cobalt (II) oxide is 6.45 g/cm3. Wh...
Determine the density of an object that has a mass...
By using estimation techniques, determine which of...
Neutron stars are composed of solid nuclear matter...
A copper refinery produces a copper ingot weighing...
Carbon-12 contains 6 protons and 6 neutrons. The r...
A copper refinery produces a copper ingot weighing...
Ethyl chloride is sold as a liquid (see photo) und...
The density of osmium is reported by one source to...
A certain cylinder has a diameter of 5.0 in and a ...
A gold ingot weighs 5.50 lbs. If the density of go...
An aluminum sphere contains 8.55 x 10 22 aluminum ...
(a) Three spheres of equal size are composed of al...
(b) Three cubes of equal mass are composed of gold...
Osmium is the densest known element, with density ...
Lignum vitae is a hard, durable, and extremely den...
A cylindrical tube has a length that is 15.2 cm an...
Osmium is the densest known element, with density ...
An aluminum sphere contains 8.66 x 1022 aluminum a...
The density of gold is 19.31 g/cm 3. A rectangular...
What mass of silver is required for an object that...
What is the mass (in grams) of 4 L of gasoline if ...
If a box measuring 16.80 cm x 14.12 cm x 29.44 cm ...
The density of a particular stainless steel alloy ...
The Earth’s oceans have an average depth of 3.6 x ...
The proton has a radius of 1.0 x 10 -13 cm and a m...
The density of lead is 11.4 g/cm3 at 25oC. The vol...
A sample of 37.5 g of an unknown metal is placed i...
The density of magnesium is 1.7 g/cm3, while that ...
Precious metals and gems are measured in troy weig...
A rectangular wooden block, 22 cm x 13.2 cm x 4.4 ...
How many 1 -cm squares would it take to construct ...
How many 1-cm cubes would it take to construct a c...
A bottle can hold 250 g of water but only 89.75 g ...
A titanium bicycle frame displaces 0.314 L of wate...
A supposedly gold nugget is tested to determine it...
Ethylene glycol (antifreeze) has a density of 1.11...
Ethylene glycol (antifreeze) has a density of 1.11...
A material will float on the surface of a liquid i...
For a material to float on the surface of water, t...
A thief uses a can of sand to replace a solid gold...
A star is estimated to have a mass of 2 x 1036 kg....
A rectangular block has dimensions 2.9 cm x 3.5 cm...
Diamonds are measured in carats, and 1 carat = 0.2...
A sample containing 33.42 g of metal pellets is po...
The density of pure silver is 10.5 g/cm3 at 20°C. ...
A steel cylinder has a length of 2.16 in, a radius...
At room temperature (20°C) and pressure, the densi...
Using Table R‑5, calculate the volume of 25.0 g of...
At room temperature (20°C) and pressure, the densi...
Earth’s oceans have an average depth of 3800 m, a ...
Earth’s oceans have an average depth of 3800 m, a ...
Vinaigrette salad dressing consists mainly of oil ...
Earth’s oceans have an average depth of 3800 m, a ...
Acetone (nail polish remover) has a density of 0.7...
Acetone (nail polish remover) has a density of 0.7...
Precious metals and gems are measured in troy weig...
Backpackers often use canisters of white gas to fu...
The gas tank of a certain luxury automobile holds ...
Is this ring genuine? (Platinum has a density of 2...
A woman buys a platinum ring that has a mass of 4....
As an instructor is preparing for an experiment, h...
An empty Erlenmeyer flask weighs 241.3 g. When fil...
A cube of osmium metal 1.500 cm on a side has a ma...
After the label fell off a bottle containing a cle...
An experiment requires 16.0 g of cyclohexane, whic...
A drop of gasoline has a mass of 25 mg and a densi...
Carbon monoxide (CO) detectors sound an alarm when...
Calculate the density of aluminum if 27.6 cm3 has ...
Glycerol is a syrupy liquid often used in cosmetic...
Calculate these masses. (a) What is the mass of 6....
Calculate these masses.(b) What is the mass of 25....
Human fat has a density of 0.918 g/cm3.How much vo...
If the mass of the bar is 104.7 g, how many signif...
Calculate these masses. (a) What is the mass of 4....
Calculate these masses.(b) What is the mass of 125...
Calculate these volumes.(b) What is the volume of ...
To identify a liquid substance, a student determin...
Because zinc has nearly the same atomic radius as ...
The active ingredient of aspirin tablets is acetyl...
To identify a liquid substance, a student determin...
Because zinc has nearly the same atomic radius as ...
To identify a liquid substance, a student determin...
To identify a liquid substance, a student determin...
An individual suffering from a high cholesterol le...
Silicon for computer chips is grown in large cylin...
Silicon for computer chips is grown in large cylin...
Gaseous hydrogen has a density of 0.0899 g/L at 0o...
Gaseous hydrogen has a density of 0.0899 g/L at 0o...
In the opening scenes of the movie  Raiders of the...
In the opening scenes of the movie Raiders of the ...
An empty vial weighs 55.32 g. If the vial weighs 1...
An empty Erlenmeyer flask weighs 241.3 g. When fil...
Platinum, Pt, is one of the rarest metals. Worldwi...
Gold is alloyed (mixed) with other metals to incre...
Consider the two spheres shown here, one made of s...
These organic solvents are used to clean compact d...
Using the mass of the proton 1.0073 amu and assumi...
Diamonds are measured in carats, and 1 carat = 0.2...
Nanotechnology, the field of trying to build ultra...
Diamonds are measured in carats, and 1 carat = 0.2...
Sterling silver is a solid solution of silver and ...
Ethanol and benzene dissolve in each other. When 1...
What is the mass of a 2.75 L sample of a liquid th...
A 40-lb container of peat moss measures 14in 20lb ...
In each of the following pairs, which has the grea...
In each of the following pairs, which has the grea...
In each of the following pairs, which has the grea...
In each of the following pairs, which has the grea...
a. Calculate the mass of ethanol in 1.50 qt of eth...
b. Calculate the mass of mercury in 3.5 in3 of mer...
Electrodes used in electrocardiography are disposa...
At room temperature (20°C) and pressure, the densi...
Using Table R‑5, calculate the volume of 25.0 g of...
Very small semiconductor crystals composed of appr...
At room temperature (20°C) and pressure, the densi...
The density of chloroform, a widely used organic s...
At room temperature (20°C) and pressure, the densi...
Using Table R‑5, calculate the volume of 25.0 g of...
Imagine that you place a cork measuring 1.30 cm x ...
Benzoic acid, C6H5COOH, melts at 122 oC. The densi...
Three spheres of equal volume are composed of alum...
Three cubes of equal mass are composed of gold (de...
Each of the beakers depicted below contains two li...
The liquid substances mercury (density = 13.6 g/mL...
You are assigned the task of separating a desired ...
For each of the following, decide whether the oran...
For each of the following, decide whether the oran...
For each of the following, decide whether the oran...
For each of the following, decide whether the oran...
A 25.0-g sample of each of three unknown metals is...
Each of the beakers depicted below contains two li...
Three samples, each of a different substance, are ...
The following cylinder contains three liquids that...
In each of the following pairs, which has the grea...
In each of the following pairs, which has the grea...
In each of the following pairs, which has the grea...
Find the radius (r) of an aluminum cylinder that i...
A 10.0 cm long cylindrical glass tube, sealed at o...
A solid aluminum sphere has a mass of 86 g .Use th...
A package of aluminum foil contains 50. ft2 of foi...
A spherical ball of lead has a diameter of 5.5 cm ...
For a material to float on the surface of water, t...
A star is estimated to have a mass of 2 x 1036 kg....
According to the Official Rules of Baseball, a bas...
A thief plans to steal a gold sphere with a radius...
A solid metal sphere has a radius of 3.61 cm and a...
Calculate the density of the  2412 Mg nucleus in g...
A large piece of jewelry has a mass of 132.6 g. A ...
A titanium bicycle frame displaces 0.314 L of wate...
When an irregularly shaped chunk of silicon weighi...
A 32.70-g sample of a solid is placed in a flask. ...
A large piece of jewelry has a mass of 132.6 g. A ...
A 25.00-g sample of a solid is placed in a graduat...
You are asked to determine the mass of a piece of ...
The density of an irregularly shaped object was de...
A sample containing 33.42 g of metal pellets is po...
The density of pure silver is 10.5 g/cm3 at 20°C. ...
An experiment was performed in which an empty 100-...
The density of osmium (the densest metal) is 22.57...
Find the density, in g/cm3, of a metal cube with a...
A cube of osmium metal 1.500 cm on a side has a ma...
A cube of osmium metal 1.500 cm on a side has a ma...
A metal cube has an edge length of 11.4 mm and a m...
A metal cube has an edge length of 11.4 mm and a m...
To identify a liquid substance, a student determin...
A material will float on the surface of a liquid i...
A rectangular block has dimensions 2.9 cm x 3.5 cm...
An Olympic-size pool is 50.0 m long and 25.0 m wid...
An Olympic-size pool is 50.0 m long and 25.0 m wid...
A copper wire (density = 8.96 g/cm3) has a diamete...
A copper refinery produces a copper ingot weighing...
A cylindrical tube 9.5 cm high and 0.85 cm in diam...
A box contains a mixture of small copper spheres a...
A steel ball-bearing with a circumference of 32.5 ...
A 40-lb container of peat moss measures 14 x 20 x ...
More sulfuric acid (density = 1.8302 g/cm3) is pro...
A small cube of aluminum measures 15.6 mm on a sid...
Section 1.7 showed that in 1997 Los Angeles County...If the density of a certain spherical atomic nucle...The density of silver is 10.5 g/cm3. If a piece of...
Osmium is one of the densest elements known. What ...
A small airplane takes on 281 L of fuel.If the den...
Determine the volume of an object that has a mass ...
Aspirin has a density of 1.40 g/cm3.What is the vo...What is the mass of 62.0 mL of ethanol? The densit...Determine the volume of hexane that contains 5.33 ...
An osmium sphere contains 1.289 x 10 23 osmium ato...
The estimated mass of the planet Jupiter is 1.90 ×...
A spherical ball of lead has a diameter of 5.0 cm....
An empty vial weighs 55.32 g. (a) If the vial weig...
The radius of a neon atom is 69 pm, and its mass i...
What is the density of lithium metal in g/cm3 if a...
Copper can be drawn into thin wires. How many mete...
The density of silver is 10.5 g/cm3.What is the ma...
A pure diamond has a density of 3.52 g/cm3. Set up...
Mercury poisoning is a debilitating disease that i...Rank the solvents according to their densities.Determine the mass of an object that has a volume ...
Liquid nitrogen is obtained from liquefied air and...
A flask has a mass of 78.23 g when empty and 593.6...Water (d = 1.0 g/mL) and methylene chloride (d = 1...Be sure to answer all parts.A graduated cylinder i...What is the mass of 1.00 cm3 of mercury? The densi...Be sure to answer all parts.An empty Erlenmeyer fl...
A metallurgist wants to gold-plate a surface with ...How many cubic centimeters (cm3) of olive oil have...Determine the mass of an object that has a volume ...An empty beaker weighs 26.27gWhen completely filed...What is the density of glass in g/cm3 if a sample ...Aluminum has a density of 2.709 g/mL. What is the ...A sample of metal has a mass of 22.01 g, and a vol...Aluminum, gold, and iron have densities of 2.7 g/c...A piece of silver metal has a mass of 2.920 g. If ...Acetone is a common solvent and has a density of 0...An ore sample has a mass of 43.02 g. When the samp...A small hot-air balloon is filled with 1.03 x 106 ...A granite sample has a density of 2.67 g/cm3. What...
Acetone (fingernail-polish remover) has a density ...Enter your answer in the provided box.A metal ball...A flask with a volume of 250.0 mL contains air wit...Bromine, a brick red liquid, has a specific gravit...Ethanol is a common laboratory solvent and has a d...Density is a physical property that rotates the ma...Acetone is a common solvent and has a density of 0...What is the mass of 527 mL of a liquid that has a ...Acetone (nail polish remover) has a density of 0.7...A small cube of metal measures 15.8 mm on a side a...
E85 fuel is a mixture of 85% ethanol and 15% gasol...What volume of gold would be equal in mass to a pi...Acetone is a common solvent and has a density of 0...You need to determine the diameter of a piece of c...
A 1.00-μm thick layer of gold is plated on a medal...The mineral galena is composed of lead(II) sulfide...A piece of silver (Ag) metal weighing 194.3 g is p...A 0.500 mL sample of a liquid is found to weigh 7....An empty beaker weighs 28.87 g. a) When completely...Complete the following conversions. 377 km/s = ___...A student made a 5.30% (w/v) solution by dissolvin...A 250-mL glass bottle was filled with 242 mL of wa...
An empty beaker weighs 42.15 g.a) When completely ...
Calculate these volumes.(a) What is the volume of ...
Benzoic acid, C6H5COOH, melts at 122 oC. The densi...
Carbon dioxide (CO2) is a gas at room temperature ...
Previous SectionDimensional Analysis
Next SectionEnd of Chapter 1 Problems