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Euler & Surface Area TP Edition. Euler3DLifeMissing 10 20 30 40 50 Game Board.

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Presentation on theme: "Euler & Surface Area TP Edition. Euler3DLifeMissing 10 20 30 40 50 Game Board."— Presentation transcript:

1 Euler & Surface Area TP Edition

2 Euler3DLifeMissing 10 20 30 40 50 Game Board

3 Back to Game Board

4 Euler– 10 What is Euler’s Formula?

5 Euler– 10 ans F + V = E + 2 Or ANY version of this formula

6 Back to Game Board

7 Euler– 20 If a Regular Tetrahedron has 4 faces and 4 vertices, how many edges?

8 Euler – 20 ans If a Regular Tetrahedron has 4 faces and 4 vertices, how many edges?

9 Back to Game Board

10 Euler – 30 Explain the difference between a geometric solid and a polyhedron

11 Euler – 30 ans Explain the difference between a geometric solid and a polyhedron A Geometric Solid is any 3-D figure (cube, cone, cylinder, sphere) and can have curved sides where a Polyhedron is made up of polygon faces and must have flat sides.

12 Back to Game Board

13 Euler– 40 If a Truncated Cuboctahedron is made up of squares, hexagons and octagons. If there are 12 squares, 6 octagons, 72 edges and 48 vertices, how many hexagonal faces are there?

14 Euler– 40 ans If a Truncated Cuboctahedron is made up of squares, hexagons and octagons. If there are 12 squares, 6 octagons, 72 edges and 48 vertices, how many hexagonal faces are there? 8 Hexagons

15 Back to Game Board

16 Euler- 50 Explain the difference between a platonic solid and a polyhedron

17 Euler– 50 ans Explain the difference between a platonic solid and a polyhedron. A Polyhedron has polygon faces (can be a mix of different shapes) where a Platonic Solid has all the same regular polygon faces

18 Back to Game Board

19 3D – 10 Find the surface area of a cube with sides of 4cm

20 3D – 10 ans Find the surface area of a cube with sides of 4cm 4 4 4

21 Back to Game Board

22 3D – 20 Find the exact surface area 2 11

23 3D – 20 ans Find the exact surface area 2 11

24 Back to Game Board

25 3D – 30

26 3x 4x 3D – 30 ans A cone with a base radius of 3x units and a slant height of 4x units has a surface area of 1701π units 2. Find x

27 Back to Game Board

28 3D – 40 Find the exact surface area for the rectangular based pyramid 7 m 4 m 5 m 6 m

29 3D – 40 ans Find the exact surface area for the rectangular based pyramid 7 m 4 m 5 m 6 m

30 Back to Game Board

31 3D – 50 A toy block has the following dimensions. Approximate the surface area to three decimals.

32 3D – 50 ans A toy block has the following dimensions. Approximate the surface area to three decimals. 1.5 3.5.75 A front/back A sides A top A bottoms A inside arch

33 Back to Game Board

34 Life – 10 Yo momma is carpeting your 11x10 foot living room. If she gets a style that costs $1.15 per square foot, how much will she spend on carpeting?

35 Life – 10 ans Yo momma is carpeting your 11x10 foot living room. If she gets a style that costs $1.15 per square foot, how much will she spend on carpeting? 11ft 10ft

36 Back to Game Board

37 Life – 20 The amount of paper needed for a soup can label is approximately equal to the area of the can’s lateral face. How much paper will be needed to cover 1000 soup cans? Round to the nearest whole number. 2.8 in 4 in

38 Life – 20 ans The amount of paper needed for a soup can label is approximately equal to the area of the can’s lateral face. How much paper will be needed to cover 1000 soup cans? Round to the nearest whole number. 2.8 in 4 in

39 Back to Game Board

40 Life – 30 You make 35 picture frames that have a 3” border around an 8”x11” picture. The material you use costs $1.5 per 50in 2. How much will it cost to make all the frames?

41 Life – 30 ans You make 35 picture frames that have a 3” border around an 8”x11” picture. The material you use costs $1.5 per 50in 2. How much will it cost to make all the frames? 8” 11” 3” 17” 14”

42 Back to Game Board

43 Life – 40 Maddie is making a 3-tier wedding cake based on the bride’s sketch. One batch of frosting costs $5 and covers 100 square inches. If she does not frost the bottoms of each layer, how much will it cost Maddie to frost the cake? 6in 10in 14in 6in

44 Life – 40 ans Maddie is making a 3-tier wedding cake based on the bride’s sketch. One batch of frosting costs $5 and covers 100 square inches. If she does not frost the bottoms of each layer, how much will it cost Maddie to frost the cake? 6in 10in 14in 6in

45 Back to Game Board

46 Life – 50 A builder recently finished a new home construction and needs to plant grass. The 300ft x 250ft yard has a 10ft x 10ft shed and the homeowner wants to plant a 100ft x 4ft flower bed along the side. If one bag of grass seed costs $15 and covers 600 square yards, how much will the builder spend to plant grass in this yard?

47 Life – 50 ans A builder recently finished a new home construction and needs to plant grass. The 300ft x 250ft yard has a 10ft x 10ft shed and the homeowner wants to plant a 100ft x 4ft flower bed along the side. If one bag of grass seed costs $15 and covers 600 square yards, how much will the builder spend to plant grass in this yard? Shed 100ft 2 250’ 300’ A=400ft 2

48 Back to Game Board

49 Missing – 10 A cube has a Volume of 27m 3. What is one side length of the cube?

50 Missing – 10 ans A cube has a Volume of 27m 3. What is one side length of the cube? x x x 3m

51 Back to Game Board

52 Missing – 20 Find the height. 4

53 Missing – 20 ans Find the height. 4

54 Back to Game Board

55 Missing – 30 The Surface Area of a Sphere is 484π. Find the Circumference of the sphere’s great circle

56 Missing – 30 ans The Surface Area of a Sphere is 484π. Find the Circumference of the sphere’s great circle

57 Back to Game Board

58 Missing – 40 A cone has a lateral surface area of 45πm 2. If the base has an area of 25πm 2, what is the slant height of the cone?

59 5 x Missing – 40 ans A cone has a lateral surface area of 45πm 2. If the base has an area of 25πm 2, what is the slant height of the cone? BaseLateral Face

60 Back to Game Board

61 Missing – 50 The TP roll has a surface area of 49π in 2. Find the height of the roll 1.5 in 2 in x

62 Missing – 50 ans The TP roll has a surface area of 49π in 2. Find the height of the roll. 1.5 in 2 in x

63 Back to Game Board


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