Calculating Density Escape Room Review

This set of vocabulary flashcards covers density, mass, and volume calculations for various shapes and materials as presented in the escape room activity.

Density

The mass per unit volume of a substance, calculated using the formula $D = \frac{m}{V}$. Units used include $g/cm^3$ and $g/ml$.

Mass

The amount of matter in an object, calculated in these exercises as $m = D \times V$.

Volume

The amount of space an object occupies, calculated as $V = \frac{m}{D}$ or by measuring dimensions (e.g., $L \times W \times H$).

Density of a Rectangle (Level 1, Q1)

Calculated as $5\,g/cm^3$ for an object with a mass of $500\,g$ and dimensions of $10\,cm \times 5\,cm \times 2\,cm$.

Density of a Cylinder (Level 1, Q2)

The density of a cylinder with a mass of $200\,g$ and specific dimensions ($2\,cm$ by $8\,cm$); in this escape room, the correct choice is $2\,g/cm^3$.

Density of an Irregular Solid (Level 1, Q3)

Calculated as $4\,g/ml$ for a solid with a mass of $32\,g$ and a volume of $7\,ml$ (indicated as a displacement context).

Density of Bread (Level 1, Q4)

Calculated as $0.2\,g/cm^3$ for a loaf with a mass of $500\,g$ and a volume of $2500\,cm^3$.

Density of Copper

The mass per unit volume of copper, calculated as $8.9\,g/cm^3$ for a block weighing $1,896\,g$ with dimensions $8.4\,cm \times 5.5\,cm \times 4.6\,cm$.

Density of Ethyl Alcohol

A known value of $0.789\,g/ml$, used to find that a $200.0\,ml$ container holds $158\,g$ of the substance.

Density of Honey

Calculated as $1.45\,g/ml$ based on a flask weighing $345.8\,g$ empty and $703.55\,g$ when filled with $246\,ml$ of honey.

Density of Rock (Displacement)

Calculated as $6\,g/ml$ for a $36\,g$ rock that raises water level in a cylinder from $3\,ml$ to $9\,ml$.

Mass of 24 Karat Gold Ring

Calculated as $396\,g$ (rounded) for a ring with a volume of $20.50\,cm^3$ and a density of $19.32\,g/cm^3$.

Density of a Cube

Calculated as $5\,g/cm^3$ for an unknown material with a height of $9\,cm$ ($V = 9^3 = 729\,cm^3$) and a mass of $3,645\,g$.

Density of Iron

Calculated as $7.92\,g/ml$ when $28.5\,g$ of iron raises the water level from $45.50\,ml$ to $49.10\,ml$.

Volume of Unknown Object from Planet X

Calculated as $4\,ml$ for an object with a density of $4\,g/ml$ and a mass of $16\,g$.

Density of Aluminum

Calculated as $2.7\,g/ml$ for a block with a volume of $15.0\,ml$ and a mass of $40.5\,g$.

Density of Wood (3cm cube)

Calculated as $2.5\,g/cm^3$ for a block with a mass of $67.5\,g$ and dimensions of $3\,cm$ on each side.

Density of Carbon Monoxide Gas

Calculated as $0.00196\,g/ml$ (or $0.0019\,g/ml$ in maze) for $0.196\,g$ with a volume of $100\,ml$.

Density of Silver Metal

A known value of $10.5\,g/cm^3$, used to find that $2,500.0\,g$ of the metal occupies a volume of approximately $238\,cm^3$.

Density of Lead

A value of $10.5\,g/cm^3$ used to find that a $420\,g$ lead sphere has a volume of $40\,cm^3$.