Area, Volume, & Density Problems

meter

SI Unit for Length

kilogram

SI Unit for Mass

liter

SI Unit for Volume

15.7 L to milliliters

15700 mL

A block of aluminum occupies a volume of 15.0 mL and weighs 40.5 g. What is its density?

2.7 g/mL

Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL. The mercury used to fill the cylinder weighs 306.0 g. From this information, calculate the density of mercury.

13.6 g/mL

What is the mass of the ethyl alcohol that exactly fills a 200.0 mL container? The density of ethyl alcohol is 0.789 g/mL.

157.8 g

A rectangular block of copper metal weighs 1896 g. The dimensions of the block are 8.4 cm by 5.5 cm by 4.6 cm. From this data, what is the density of copper?

8.92 g/cm³

A flask that weighs 345.8 g is filled with 225 mL of carbon tetrachloride. The weight of the flask and carbon tetrachloride is found to be 703.55 g. From this information, calculate the density of carbon tetrachloride.

1.59 g/mL

Calculate the density of sulfuric acid if 35.4 mL of the acid weighs 65.14 g.

1.84 g/mL

Find the mass of 250.0 mL of benzene. The density of benzene is 0.8765 g/mL.

219.125 g

A block of lead has dimensions of 4.5 cm by 5.2 cm by 6.0 cm. The block weighs 1587 g. From this information, calculate the density of lead.

11.3 g/cm³

28.5 g of iron is added to a graduated cylinder containing 45.50 mL of water. The water level rises to the 49.10 mL mark, from this information, calculate the density of iron.

7.92 g/mL

What volume of silver metal will weigh exactly 2500.0 g? The density of silver is 10.5 g/cm³.

238.1 cm³

100 grams of a liquid completely fill a 200 mL bottle. What is the density of the liquid?

0.500 g/mL

A solution has a density of 1.50 g/mL. How many grams are needed to obtain 10.0 mL of solution?

15.0 g

If a block of copper measures 2.00 cm x 4.00 cm x 5.00 cm and weighs 356 grams, what is its density?

8.90 g/cm³

The density of mercury is 13.6 g/mL. What is the mass of 8.20 mL of mercury?

112 g

The density of mercury is 13.6 g/mL. What volume would 120 g of mercury occupy?

8.82 mL

A piece of silver has a mass of 2800 grams and occupies a volume of 266 cm³. What is the density of silver?

10.5 g/cm³

A bottle has a capacity of 1.2 liters. If the density of ether is 0.74 g/mL, what mass of ether can the bottle hold?

888 g

A student pipets 5.00 mL of ethanol into a flask weighing 15.25 grams. She finds that the mass of the flask plus ethanol equals 19.17 grams. Calculate the density of ethyl alcohol.

0.784 g/mL

Peanut oil has a density of 0.92 g/mL. If a recipe calls for 1/4 cup of peanut oil, what mass of peanut oil is required? (Hint: 1 cup = 237 mL).

54.51 g

A chemist needs 2.00 g of a liquid compound, which has a density of 0.718 g/mL. If the compound costs $5.67 per mL, how much will a 2.0 sample cost?

$15.80

Convert 25000cm² to m²

25000cm²×1 m²/10000 cm²=2.5 m²

Convert 3400mm³ to cm³

3400mm³ × 1 cm³ / 1000 mm³ = 3.4cm³

Convert 2.5 cm³ to mm³

2.5 cm³ × 1000 mm³/1 cm³ = 2500 mm³

Convert 5.6cm² to mm²

5.6cm²× 100 mm² / 1 cm² = 560 mm²

Convert 5.2 liters to cm³

5.2 liters × 1000 cm³/ 1 L= 5200 cm³

Convert 7.8 liters to milliliters

7.8 liters × 1000 mL / 1 L = 7800 ml

Volume Definition

The amount of space an object takes up

Area Definition

The amount of surface an object covers

Density Definition

The amount of mass packed into a particular volume

How to calculate mass using the density formula

Density x Volume

Graduated Cylinder

Used to measure the volume of a liquid

How to calculate Density using the density formuls

Mass divided by Volume

How to calculate Volume using the density formula

Mass divided by Density

Objects will FLOAT if they are....

Less Dense

Objects will SINK if they are....

More Dense

Formula for Area of a circle

πr²

formula for area of a rectangle

Length x Width

formula for area of a triangle

1/2bh

formula for the volume of a cube

L x W x H

Formula for the volume of a cylinder

πr²x h

Formula for volume of a sphere

4/3 x π r³

Find the area of a circle with a diameter of 4m to 2 decimal places

12.57m²

Find the Area of the triangle with base of 9cm and a height of 8 cm.

36 cm²

Find the volume:

Cube with sides of 3 cm

27cm³

Find the volume of a cylinder with a height of 5cm and a radius of 4cm

251.33cm³

Find the volume of a sphere with a radius of 3cm

113.1 cm³

Find the area of a rectangle that is 5 cm. by 8 cm.

40 cm²

units for density

g/mL, g/cm³, kg/L

If the mass of an object is 10.0 g and the volume is 2mL. What is the density?

5.0g/mL

If the volume of a cube is 64cm³ and the density is 10g/cm³. What is the mass of the object?

640 g