Warm Up Write the equation of a circle with center

(-3,4) and radius = 5 Solve the system of equations

17

322

yx

xy

17

322

yx

xy

Volume ReviewThursday, December 5th, 2013

A prism is named using the name of the base.

Volume ReviewVocabulary Prisms Lateral Faces Bases Base Edges Lateral edges Vertices Lateral Area Total Surface Area Volume

Volume ReviewVocabulary… Lateral Faces Base Base Edges Lateral edges Height Slant height Apothem of the base

Volume Review

Volume Review

Volume Review Example 1

B = ____h = ____V = ____

Volume Review Example 2

B = ____h = ____V = ____

Volume Review Example 3

B = ____h = ____V = ____

Volume Review Example 4

B = ____h = ____V = ____

Volume Review Example 5

B = ____h = ____V = ____

Volume Review Example 6Find the height of a triangular pyramid with a base area of 130 square meters and a volume of 650 cubic meters.

Volume Review Example 7 What is the width of a cube with a volume

of 343 m3 ?

Volume Review Example 8 How much salt is needed to fill a pit that is

10m deep and 8m wide and 12 m long?

Volume of a Sphere

3

3

4rV

Volume Review Example 9 Find the volume of the sphere

Volume Review Example 10 Find the volume of a sphere with

radius = 6 m

Partner Race Volume of Prisms & Cylinders Volume of Pyramids & Cones

Answers-Prisms & Cylinders 120 35 1781 48 1131

Answers-Pyramid & Cones B G B F D

HOMEWORK Begin the worksheet, finish for homework

Warm Up Find the volume of the following figures:

Volume Applications

Friday, December 6th, 2013

Think about a plan….

What is density? Mass? Volume?

Density: the amount of matter, or mass, per unit volume

Mass: the amount of matter an object has

Volume: the amount of space an object occupies

Volume & Density

D = mass

volume

OR

M = D•V

Example 1 What is the density of a piece of wood that

has a mass of 25.0 grams and a volume of 29.4 cm3 ?

Example 2 A piece of wood that measures 3.0 cm by

6.0 cm by 4.0 cm has a mass of 80.0 grams. What is the density of the wood?

Example 3 A cup of gold colored metal beads was measured to

have a mass 425 grams. By water displacement, the volume of the beads was calculated to be 48.0 cm3. Given the following densities, identify which metal it is!

Gold: 19.3 g/mL Copper: 8.86 g/mL Bronze: 9.87 g/mL

Example 4 What is the mass of a cylinder of lead that is

2.50 cm in diameter, and 5.50 cm long. The density of lead is 11.4 g/mL and the volume of a cylinder is 6.

Example 5

Partner Race!! A little aluminum boat (mass of 14.50 g) has a volume of

450.00 cm3. The boat is place in a small pool of water and carefully filled with pennies. If each penny has a mass of 2.50 g, how many pennies can be added to the boat before it sinks?

Recall---- Get a highlighter, we will walk through the

explanation & two examples on the paper Highlight important information Mrs. Sawyer will randomly call on people to

read!

Homework Work on the problems on the back and fill

in the chart. When done, complete the HW on your

OWN paper. DO NOT try to fit on the small sheet. Keep that sheet for notes.