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 BagVolume of Irregular Shapes

Volume of Prisms

What is the surface area of this shape?

1 pt

1 ptThe surface area of this shape is

8 green squares+

10 red squares =

18 square units

2 ptWhat is the surface area of

this shape?

2 ptThe surface area of this shape is

12 purple squares+

14 blue squares =

26 square units

3 ptWhat is the surface area of

this shape?

3 ptThe surface area of this shape is

6 green squares+

16 red squares =

22 square units

What is the surface area of this shape?

4 pt

The surface area of this shape is

4 pt

20 red squares+

28 yellow squares =

48 square units

5 ptWhat is the surface area of

this shape?

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

1 pt1 ptWhat is the volume of the shape below?

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.

2 ptWhat is the volume of the shape below?

2 ptThe volume of the shape below is 13 units3.

8 green cubes

1 blue cube

4 red cubes

3 ptWhat is the volume of the shape below?

3 pt

Top level = 1 cube

Middle level = 9 cubes

Bottom level = 25 cubes

Volume = 35 cubic units

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

4 ptThe volume is 140 cubic units.

5 cubes7 cubes

4 cubes

5 x 7 x 4 = 140 cubes

5 pt

What is the total volume

of the figure?

5 pt16 cubes

16 cubes

16 cubes

24 cubes

Total Volume = 72 cubic units

What are the dimensions of this rectangular prism?

1 pt

4 units2 units

1 unit

1 pt

1 x 2 x 4(in any order)

2 ptWhat is the surface area of this rectangular prism?

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

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

Hint: can you draw the finished prism?

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

finished3 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.

Total surface area = 204 cm2

70 cm2

60 cm2

50 cm2

12 cm2

12 cm2

4 pt

What is the surface area of the rectangular prism?

13 cm

21 cm

25 cm

5 pt

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

How would you label an answer for a volume problem?

A. unitsB. square unitsC. cubic units

How would you label an answer for a volume problem?

A. unitsB. square unitsC. cubic units

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.

2 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.

11 cm 5 cm

7 cm

3 pt

15 cm

73 cm

100 cm

What is the volume of this prism?4 pt

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

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.

5 pt

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

1 pt

These 4 shapes will not covera unit cube.

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

2 pt

4 units3 units

3 units

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

3 ptA company wants to find the cheapest way to box its products. The latest product they have designed needs 30 cubic units of space. Give the dimensions of the box that requires the least amount of packaging material (surface area) First find all the ways to make a prism with 30 cubes. There are 4 ways. Hint: make a chart.

3 ptThe following boxes all have a volume of 30 cubic units. Notice all the dimensions are FACTORS of 30.

1 x 1 x 301 x 2 x 151 x 3 x 101 x 5 x 62 x 3 x 5

The 2 x 3 x 5 box requires the least amount of packaging material because it is the shape that looks most like a cube.

When put together, what is

the volume of this figure?

4 pt

52 units3

16 units3

12 units3

12 units3

12 units3

4 pt

5 pt

Give the list of boxes that have a volume of

40 cubic units. (hint: there are 6

possibilities)

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