HW: Density & Displacement

The dimensions of a rectangular block of wood are

5.5 cm x 5.5 cm x 4.5 cm.

Calculate the volume of the wooden block in cm³.

ANSWER IN STANDARD NOTATION AND

WATCH YOUR SIG FIGS (OPERATIONS)!

(a)  

A metal cube has a mass of 204 g and a volume of 150 cm³.

Calculate the density of the metal cube in g/cm³.

ANSWER IN STANDARD NOTATION AND

WATCH YOUR SIG FIGS (OPERATIONS)!

(a)  

Scuba Steve fell into the graduated cylinder.

What is Scuba Steve's volume (in mL)?

ANSWER WITH 2 SIG FIGS IN STANDARD NOTATION!

(a)  

Calculate the mass (in g) of Scuba Steve.

His density is 0.72 g/mL.

ANSWER WITH 2 SIG FIGS IN STANDARD NOTATION!

(a)  

Use the table of densities and image of the graduated cylinder to create a layered density column.

Drag the substance where it belongs on the column.

1. 1.​ (a)  

2. 2.​ (b)  

3. 3.​ (c)  

4. 4.​ (d)  

5. 5.​ (e)  

• Ethanol
• Aluminum
• Lead
• Gold
• Methanol

Tags

NGSS.MS-PS1-2

Benzene is used in manufacturing plastics, resins, nylon, and synthetic fibers like polyester.

The density of benzene is 0.8765 g/mL.

If you measured out 250.0 mL of benzene,

what would the mass be (in g)?

WATCH YOUR SIG FIGS!

(a)  

Which box has the greater density and why?

• Box A, because it has more mass packed into the same volume.

• Box B, because having fewer particles means each particle takes up more space.

• Box A, because the particles are heavier in that box.

• Both boxes have the same density since the particles are identical in mass.

Tags

NGSS.MS-PS1-1

Which box contains a substance with the greater density, and why?

• Box B, because density increases when the same mass occupies a smaller volume.

• Box A, because having more empty space makes the density lower.

• Both boxes, because density only depends on the number of particles, not spacing.

• Box B, because the particles gain mass when closer together.

Tags

NGSS.MS-PS1-1

Box B has a density of 2 g/cm³.

What is the density of Box A, and why?

• 4 g/cm³, because doubling the mass in the same volume doubles the density.

• 2 g/cm³, because the density of a substance never changes.

• 8 g/cm³, because the density quadruples when you double the number of particles.

• 1 g/cm³, because density decreases as particle number increases.

If larger particles represent heavier atoms, which box has the greater density, and why?

• Box B, because density increases when mass increases while volume stays constant.

• Box A, because the smaller particles are packed more tightly.

• Both boxes, because density only depends on particle count, not particle mass.

• Box B, because larger particles take up more space, leaving less room for density.