Thursday, December 5th

If I go to school, then I see my friends.

1. Write the converse 2. Write the

contrapositive

Warm Up

Weekly ReviewDue TOMORROW

Must show work on separate sheet of paper!

3-D Figures Formula Sheet

Homework Answers

Think,Pair,

Share

3-D Shape

Whiteboard Review

Question

How many faces?

Answer

5

Question

How many vertices?

Answer

4

128

9

Find the Volume

864

Find the EXACT area.

r = 12 feet

144π

What is the formula for Surface Area of a

Sphere

24SA r

8 cm

Surface Area of a Sphere(round to the nearest hundredths)

SA4 r2

SA=201.06 cm²

A sphere is inscribed in a cube of volume 125 cubic meters. What is the surface area of the sphere? Give an exact answer and an answer rounded to the nearest hundredth.

SA=78.54 m²

What is the Volume of a

Sphere

343

V r

12 cm

Volume of a Sphere

(round to the nearest hundredths)

343

V r

V=603.19 cm³

Part 1: Volume of Prisms

What is volume?!

• Volume- The number of cubic

units needed to Fill a space

• Volume is measured in cubic units (ex: in3)

To find the volume of any prism, you can use the

formula V= Bh

Where B is the area of the base, and h is the prism’s

height.

B depends on the shape!

• The base of a RECTANGULAR prism is a rectangle so the base is: l x w

• To find the volume of a triangular prism, B is the area of the triangular base so the base is: ½ x b x h

B is for BASE

V = lwh Write the formula.

V = 29 • 12 • 16 l = 29; w = 12; h = 16

Multiply.V = 5,568 in3

16 in.

29 in.

12 in.

#1 You Try!A=bh

B= l x w

A rectangular prism with base length 6 ft, width

5 ft, and height 7 ft

#2 You Try!A=bh

B= l x w

V = Bh Write the formula.

V = ( • 3.9 • 1.3) • 412__ B = • 3.9 • 1.3; h = 4.1

2__

Multiply.V = 10.14 m3

#3 Try Together!A=bh

B= ½ x b x h

The bases of a prism are always two congruent, parallel polygons.

Caution!

V = Bh Write the formula.

V = ( • 6.5 • 7) • 612__ B = • 6.5 • 7; h = 6.1

2__

Multiply.V = 136.5 ft 3

#4 You TryA=bh

B= ½ x b x h

Part 1: Volume of a Cylinder

tttttttttttt

Recall-Circle Area

To find the volume of a cylinder, you can use the same method as you did for prisms: Multiply the area of the

base by the height.

volume of a cylinder = area of base height

The area of the circular base is r2, so the formula is V = Bh = r2h.

Write the formula.

Replace with 3, r with 4, and h with 7.Multiply.V 336

V = r2h

V 3 42 7

The volume is about 336 ft3.

JUST WATCH

10 cm ÷ 2 = 5 cm Find the radius.

Write the formula.

Replace with 3, r with 5, and h with 11.Multiply.V 825

V = r2h

V 3 52 11

The volume is about 825 cm3.

#1 TRY TOGETHER

Multiply.V 540

The volume is about 540 ft3.

6 ft

5 ft

Write the formula.

Replace with 3, r with 6, and h with 5.

V = r2h

V 3 62 5

#2 YOU TRY

Multiply.V 288

8 cm ÷ 2 = 4 cm

The volume is about 288 cm3.

Find the radius.

8 cm

6 cm

Write the formula.

Replace with 3, r with 4, and h with 16.

V = r2h

V 3 42 6

#3 YOU TRY