surface area of irregular shapes volume of irregular shapes

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2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Surface Area of Irregular Shapes Surface Area of Prisms Mixed Bag Volume of Irregular Shapes Volume of Prisms

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What is the surface area of this shape? Eleanor M. Savko 4/26/2017 1 pt What is the surface area of this shape?

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Page 1: Surface Area of Irregular Shapes Volume of Irregular Shapes

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Surface Area of Irregular

Shapes

Surface Area of Prisms Mixed Bag

Volume of Irregular Shapes

Volume of Prisms

Page 2: Surface Area of Irregular Shapes Volume of Irregular Shapes

What is the surface area of this shape?

1 pt

Page 3: Surface Area of Irregular Shapes Volume of Irregular Shapes

1 ptThe surface area of this shape is

8 green squares+

10 red squares =

18 square units

Page 4: Surface Area of Irregular Shapes Volume of Irregular Shapes

2 ptWhat is the surface area of

this shape?

Page 5: Surface Area of Irregular Shapes Volume of Irregular Shapes

2 ptThe surface area of this shape is

12 purple squares+

14 blue squares =

26 square units

Page 6: Surface Area of Irregular Shapes Volume of Irregular Shapes

3 ptWhat is the surface area of

this shape?

Page 7: Surface Area of Irregular Shapes Volume of Irregular Shapes

3 ptThe surface area of this shape is

6 green squares+

16 red squares =

22 square units

Page 8: Surface Area of Irregular Shapes Volume of Irregular Shapes

What is the surface area of this shape?

4 pt

Page 9: Surface Area of Irregular Shapes Volume of Irregular Shapes

The surface area of this shape is

4 pt

20 red squares+

28 yellow squares =

48 square units

Page 10: Surface Area of Irregular Shapes Volume of Irregular Shapes

5 ptWhat is the surface area of

this shape?

Page 11: Surface Area of Irregular Shapes Volume of Irregular Shapes

5 pt

4 purple squares8 blue squares12 red squares

18 green squares

The surface area of this shape is

(Counting the green ones on the bottom)

= 42 square units

Page 12: Surface Area of Irregular Shapes Volume of Irregular Shapes

1 pt1 ptWhat is the volume of the shape below?

Page 13: Surface Area of Irregular Shapes Volume of Irregular Shapes

1 pt1 pt

6 cubes on 1st level

1 cubes on 1st level

1 cubes on 1st level

3 cubes on 1st level

The total volume is 11 cubic units.

Page 14: Surface Area of Irregular Shapes Volume of Irregular Shapes

2 ptWhat is the volume of the shape below?

Page 15: Surface Area of Irregular Shapes Volume of Irregular Shapes

2 ptThe volume of the shape below is 13 units3.

8 green cubes

1 blue cube

4 red cubes

Page 16: Surface Area of Irregular Shapes Volume of Irregular Shapes

3 ptWhat is the volume of the shape below?

Page 17: Surface Area of Irregular Shapes Volume of Irregular Shapes

3 pt

Top level = 1 cube

Middle level = 9 cubes

Bottom level = 25 cubes

Volume = 35 cubic units

Page 18: Surface Area of Irregular Shapes Volume of Irregular Shapes

4 ptWhat would be the volume of the shape below if it was totally filled in with cubes?

Page 19: Surface Area of Irregular Shapes Volume of Irregular Shapes

4 ptThe volume is 140 cubic units.

5 cubes7 cubes

4 cubes

5 x 7 x 4 = 140 cubes

Page 20: Surface Area of Irregular Shapes Volume of Irregular Shapes

5 pt

What is the total volume

of the figure?

Page 21: Surface Area of Irregular Shapes Volume of Irregular Shapes

5 pt16 cubes

16 cubes

16 cubes

24 cubes

Total Volume = 72 cubic units

Page 22: Surface Area of Irregular Shapes Volume of Irregular Shapes

What are the dimensions of this rectangular prism?

1 pt

Page 23: Surface Area of Irregular Shapes Volume of Irregular Shapes

4 units2 units

1 unit

1 pt

1 x 2 x 4(in any order)

Page 24: Surface Area of Irregular Shapes Volume of Irregular Shapes

2 ptWhat is the surface area of this rectangular prism?

Page 25: Surface Area of Irregular Shapes Volume of Irregular Shapes

2 pt

The surface area is 62 square units

10 green squares15 red squares

6 yellow squaresBut remember there are 2 of each of these faces, so multiply the sum by 2.(10 + 15 + 6) x 2 = 62

Page 26: Surface Area of Irregular Shapes Volume of Irregular Shapes

What is the surface area of this shape if it is completely filled with cubes?

Hint: can you draw the finished prism?

3 pt

Page 27: Surface Area of Irregular Shapes Volume of Irregular Shapes

The surface area of the yellow face is 28 units2 . The surface area of the purple face is 32 units2 . The surface area of the red face is 56 units2 . The total surface area is :

(28 + 32 + 56) x 2 = 232 units2

finished3 pt

Page 28: Surface Area of Irregular Shapes Volume of Irregular Shapes

What is the surface area of the triangular prism?

4 pt

Page 29: Surface Area of Irregular Shapes Volume of Irregular Shapes

The surface area of the triangular prism is the total

areas of all the faces.

Total surface area = 204 cm2

70 cm2

60 cm2

50 cm2

12 cm2

12 cm2

4 pt

Page 30: Surface Area of Irregular Shapes Volume of Irregular Shapes

What is the surface area of the rectangular prism?

13 cm

21 cm

25 cm

5 pt

Page 31: Surface Area of Irregular Shapes Volume of Irregular Shapes

The surface area of the rectangular prism is 2246 cm2

13 x 21 = 27325 x 21 = 52513 x 25 = 325

(273 + 525 + 325) x 2 =

5 pt

273 + 273 + 525 + 525 + 325 + 325

Page 32: Surface Area of Irregular Shapes Volume of Irregular Shapes

How would you label an answer for a volume problem?

A. unitsB. square unitsC. cubic units

Page 33: Surface Area of Irregular Shapes Volume of Irregular Shapes

How would you label an answer for a volume problem?

A. unitsB. square unitsC. cubic units

Page 34: Surface Area of Irregular Shapes Volume of Irregular Shapes

What would the volume of the prism be, if it was completely filled with cubes?

2 pt

Page 35: Surface Area of Irregular Shapes Volume of Irregular Shapes

4 rows of 6 5 levels of 24= 120 cubes

The prism contains 120 cubes.

2 pt

Page 36: Surface Area of Irregular Shapes Volume of Irregular Shapes

If the rectangle below was filled with cubes 7 levels high, what would be the total volume?

11 cm

5 cm

3 pt

Page 37: Surface Area of Irregular Shapes Volume of Irregular Shapes

The prism would contain 385 cm3? 55 cubes on the bottom level, and 7 levels of 55 = 385 cubes.

11 cm 5 cm

7 cm

3 pt

Page 38: Surface Area of Irregular Shapes Volume of Irregular Shapes

15 cm

73 cm

100 cm

What is the volume of this prism?4 pt

Page 39: Surface Area of Irregular Shapes Volume of Irregular Shapes

The volume is 109,500 cm3.

15 x 73 = 1095 cubes on the bottom level.100 levels of 1095 = 109,500 cm3 .15 cm

73 cm

100 cm4 pt

Page 40: Surface Area of Irregular Shapes Volume of Irregular Shapes

Create a 3-D shape that has a volume of 8 cm3 and a surface area of 24 cm2. What does this

shape look like?

5 pt

Page 41: Surface Area of Irregular Shapes Volume of Irregular Shapes

This 3-D shape has a volume of 8 cm3 and 24 cm2. The dimensions of this prism are : 2 x 2 x 2.

5 pt

Page 42: Surface Area of Irregular Shapes Volume of Irregular Shapes

1 ptWhich of these flat patterns will not completely cover a unit cube (A unit cube is one single cube)?

Page 43: Surface Area of Irregular Shapes Volume of Irregular Shapes

1 pt

These 4 shapes will not covera unit cube.

Page 44: Surface Area of Irregular Shapes Volume of Irregular Shapes

2 ptWhat are the dimensions of the resulting prism after folding the flat pattern into a prism?

Page 45: Surface Area of Irregular Shapes Volume of Irregular Shapes

2 pt

4 units3 units

3 units

4 x 3 x 3 are the dimensions (in any order)

Page 46: Surface Area of Irregular Shapes Volume of Irregular Shapes

3 pt7 cm

10 cm

Find the volume and surface area for this cylinder.

Page 47: Surface Area of Irregular Shapes Volume of Irregular Shapes

3 pt7 cm

10 cm

V = B x h=πr2h

3.14 x 3.52 x 10384.65 cm3

S.A. = 2πr2 + hπd2(3.14)(3.52) + (10)(3.14)(14)

76.93 + 439.6516.53 cm2

Page 48: Surface Area of Irregular Shapes Volume of Irregular Shapes

When put together, what is

the volume of this figure?

4 pt

Page 49: Surface Area of Irregular Shapes Volume of Irregular Shapes

52 units3

16 units3

12 units3

12 units3

12 units34 pt

Page 50: Surface Area of Irregular Shapes Volume of Irregular Shapes

5 ptGive the list of boxes that have a volume of

40 cubic units. (hint: there are 6

possibilities)

Page 51: Surface Area of Irregular Shapes Volume of Irregular Shapes

5 ptThe following boxes all have a volume of 40 cubic units. Notice that all the dimensions are FACTORS of 40 and when you multiply the dimensions you always get an answer of 40.

1 x 1 x 401 x 2 x 201 x 4 x 101 x 5 x 8

2 x 2 x 102 x 4 x 5