Area & Volume

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# Area & Volume - PowerPoint PPT Presentation

Area & Volume. JEOPARDY INSTRUCTIONAL GAME. For grades 6-12 C. Sitja Emerson VPA 2006. Measurement and Problem Solving. Surface Area of Irregular Shapes. Volume of Irregular Shapes. Surface Area of Prisms. Volume of Prisms. 1 pt. 1 pt. 1 pt. 1 pt. 1 pt. 2 pt. 2 pt. 2 pt. 2 pt.

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## Area & Volume

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### Area & Volume

JEOPARDY

INSTRUCTIONAL GAME

C. Sitja Emerson VPA 2006

Measurement and Problem Solving

Surface Area of Irregular Shapes

Volume of Irregular Shapes

Surface Area of Prisms

Volume of Prisms

1 pt

1 pt

1 pt

1 pt

1 pt

2 pt

2 pt

2 pt

2 pt

2 pt

3 pt

3 pt

3 pt

3 pt

3 pt

4 pt

4 pt

4 pt

4 pt

4 pt

5 pt

5 pt

5 pt

5 pt

5 pt

1 pt

What is the surface area of this shape?

1 pt

The surface area of this shape is

8 green squares

+

10 red squares

=

18 square units

2 pt

What is the surface area of this shape?

2 pt

The surface area of this shape is

12 purple squares

+

14 blue squares

=

26 square units

3 pt

What is the surface area of this shape?

3 pt

The surface area of this shape is

6 green squares

+

16 red squares

=

22 square units

4 pt

What is the surface area of this shape?

4 pt

The surface area of this shape is

20 red squares

+

28 yellow squares

=

48 square units

5 pt

What is the surface area of this shape?

5 pt

The surface area of this shape is

4 purple squares

8 blue squares

12 red squares

18 green squares

(Counting the green ones on the bottom)

= 42 square units

1 pt

1 pt

What is the volume of the shape below?

1 pt

1 pt

1 cubes on 1st level

1 cubes on 1st level

3 cubes on 1st level

6 cubes on 1st level

The total volume is

11 cubic units.

2 pt

What is the volume of the shape below?

2 pt

The volume of the shape below is 13 units3.

1 blue cube

4 red cubes

8 green cubes

3 pt

What is the volume of the shape below?

3 pt

Volume =

35 cubic units

Top level = 1 cube

Middle level = 9 cubes

Bottom level = 25 cubes

4 pt

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

4 pt

The volume is 140 cubic units.

5 pt

What is the total volume of the figure?

5 pt

16 cubes

16 cubes

Total Volume = 72 cubic units

16 cubes

24 cubes

1 pt

What are the dimensions of this rectangular prism?

1 unit

4 units

2 units

1 pt

1 x 2 x 4

(in any order)

2 pt

What is the surface area of this rectangular prism?

2 pt

The surface area is 62 square units

3 pt

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

Hint: can you draw the finished prism?

finished

3 pt

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

4 pt

What is the surface area of the triangular prism?

4 pt

The surface area of the triangular prism is the total areas of all the faces.

70 cm2

60 cm2

50 cm2

12 cm2

12 cm2

Total surface area = 204 cm2

5 pt

What is the surface area of the rectangular prism?

13 cm

25 cm

21 cm

5 pt

13 x 21 = 273

25 x 21 = 525

13 x 25 = 325

273 + 273 + 525 + 525 + 325 + 325

(273 + 525 + 325) x 2 =

The surface area of the rectangular prism is 2246 cm2

How would you label an answer for a volume problem?

A. units

B. square units

C. cubic units

How would you label an answer for a volume problem?

A. units

B. square units

C. cubic units

2 pt

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

2 pt

4 rows of 6

5 levels of 24

= 120 cubes

The prism contains 120 cubes.

3 pt

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

11 cm

5 cm

3 pt

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

7 cm

11 cm

5 cm

4 pt

What is the volume of this prism?

100 cm

73 cm

15 cm

4 pt

100 cm

15 x 73 = 1095 cubes on the bottom level.

100 levels of 1095 = 109,500 cm3.

73 cm

15 cm

The volume is 109,500 cm3.

5 pt

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

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

1 pt

What is the volume of this figure?

1cm

1cm

1cm

1 pt

1cm x 1cm x 1cm

=1 unit3

1cm

x

4 units

1cm

1cm

= 4 units3

2 pt

What is the volume of this figure?

15m

1.2m

12m

2 pt

15m

V = 1350m3

1.2m

12m

V= hxlxw

h =15m

l = 5(1.2m)

h =15m

V = 15m x 6m x 15m

3 pt

If each cube measures 7inx1.5inx2in.

What is the volume of this figure?

3 pt

The volume of each cube is 21in3.

11cubes

Volume of

the figure

8085in3

7cubes

5cubes

Total of cubes = 7x 5 x11 = 385cubes

Total of cubes x volume of each cubes=

4 pt

When put together, what is the volume of this figure?

4 pt

12 units3

12 units3

52 units3

12 units3

16 units3

What is the total volume of the

three figures combine?

5 pt

1in

3in

4in

3in

5in

5in

5in

5in

10in

1st layer: 5 x 5 = 25 blocks

2nd layer: 3 x 3 = 9 blocks

3rd layer: 1 x 1 = 1 block

Total blocks = 35 blocks

1in

3in

5 pt

Volume each block

= 1in x 3in x 3in

= 9in3

Then, Total volume

= 35 blocks x 9 in3

= 315 in3

3in

Volume each block

= 5in x 5in x 5in

= 125in3

Then, Total volume

= 13 blocks x 125in3

= 1,625in3

1st layer: 4 x 2 = 8 blocks

2nd layer: (3 x 1) +1 = 4 blocks

3rd layer: 1 x 1 = 1 block

Total blocks = 13 blocks

4in

Figure 1 V= 315 in3

Figure 2 V = 1,625 in3

Figure 3 V = 1,600 in3

Total all three

= 3,540 in3

5in

5in

1st layer: 2 x 2 = 4 blocks

2nd layer: 2 x 2 = 4 blocks

Total blocks = 8 blocks

Volume each block

= 4in x 5in x 10in

= 200in3

Then, Total volume

= 8 blocks x 200in3

=1,600in3

5in

5in

10in

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