Thursday, December 5 th If I go to school, then I see my friends. 1.Write the converse 2.Write the contrapositive

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

864

Find the EXACT area. r = 12 feet

What is the formula for Surface Area of a Sphere

8 cm Surface Area of a Sphere (round to the nearest hundredths) SA= 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

12 cm Volume of a Sphere (round to the nearest hundredths) V= 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: in 3 )

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

V = lwh Write the formula. V = l = 29; w = 12; h = 16 Multiply.V = 5,568 in 3 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 = BhWrite the formula. V = ( ) __ B = ; h = __ Multiply.V = m 3 #3 Try Together! A=bh B= ½ x b x h

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

V = BhWrite the formula. V = ( 6.5 7) __ B = 6.5 7; h = __ Multiply.V = ft 3 #4 You Try A=bh B= ½ x b x h

Part 1: Volume of a Cylinder

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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 r 2, so the formula is V = Bh = r 2 h.

Write the formula. Replace  with 3, r with 4, and h with 7. Multiply. V 336 V = r 2 h V  3  42  7V  3  42  7 The volume is about 336 ft 3.

10 cm ÷ 2 = 5 cmFind the radius.Write the formula. Replace  with 3, r with 5, and h with 11. Multiply. V  825 V = r 2 h V  3  5 2  11 The volume is about 825 cm 3.

Multiply. V  540 The volume is about 540 ft 3. 6 ft 5 ft Write the formula. Replace  with 3, r with 6, and h with 5. V = r 2 h V  3  62  5V  3  62  5

Multiply. V  cm ÷ 2 = 4 cm The volume is about 288 cm 3. Find the radius. 8 cm 6 cm Write the formula. Replace  with 3, r with 4, and h with 16. V = r 2 h V  3  42  6V  3  42  6