# Surface Area of Irregular Shapes Volume of Irregular Shapes

## Presentation on theme: "Surface Area of Irregular Shapes Volume of Irregular Shapes"— Presentation transcript:

Surface Area of Irregular Shapes Volume of Irregular Shapes
Eleanor M. Savko 4/5/2017 Surface Area of Irregular Shapes Volume of Irregular Shapes Surface Area of Prisms Volume of Prisms Mixed Bag 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

What is the surface area of this shape?
Eleanor M. Savko 4/5/2017 1 pt What is the surface area of this shape?

The surface area of this shape is
Eleanor M. Savko 4/5/2017 1 pt The surface area of this shape is 8 green squares + 10 red squares = 18 square units

What is the surface area of this shape?
Eleanor M. Savko 4/5/2017 2 pt What is the surface area of this shape?

The surface area of this shape is
Eleanor M. Savko 4/5/2017 2 pt The surface area of this shape is 12 purple squares + 14 blue squares = 26 square units

What is the surface area of this shape?
Eleanor M. Savko 4/5/2017 3 pt What is the surface area of this shape?

The surface area of this shape is
Eleanor M. Savko 4/5/2017 3 pt The surface area of this shape is 6 green squares + 16 red squares = 22 square units

What is the surface area of this shape?
Eleanor M. Savko 4/5/2017 4 pt What is the surface area of this shape?

The surface area of this shape is
Eleanor M. Savko 4/5/2017 4 pt The surface area of this shape is 20 red squares + 28 yellow squares = 48 square units

What is the surface area of this shape?
Eleanor M. Savko 4/5/2017 5 pt What is the surface area of this shape?

The surface area of this shape is
Eleanor M. Savko 4/5/2017 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

What is the volume of the shape below?
Eleanor M. Savko 4/5/2017 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
Eleanor M. Savko 4/5/2017 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.

What is the volume of the shape below?
Eleanor M. Savko 4/5/2017 2 pt What is the volume of the shape below?

The volume of the shape below is 13 units3.
Eleanor M. Savko 4/5/2017 2 pt The volume of the shape below is 13 units3. 1 blue cube 4 red cubes 8 green cubes

What is the volume of the shape below?
Eleanor M. Savko 4/5/2017 3 pt What is the volume of the shape below?

3 pt Volume = 35 cubic units Top level = 1 cube Middle level = 9 cubes
Eleanor M. Savko 4/5/2017 3 pt Volume = 35 cubic units Top level = 1 cube Middle level = 9 cubes Bottom level = 25 cubes

Eleanor M. Savko 4/5/2017 4 pt What would be the volume of the shape below if it was totally filled in with cubes?

The volume is 140 cubic units.
Eleanor M. Savko 4/5/2017 4 pt The volume is 140 cubic units. 5 x 7 x 4 = 140 cubes 4 cubes 7 cubes 5 cubes

What is the total volume of the figure?
Eleanor M. Savko 4/5/2017 5 pt What is the total volume of the figure?

Total Volume = 72 cubic units
Eleanor M. Savko 4/5/2017 5 pt 16 cubes 16 cubes Total Volume = 72 cubic units 16 cubes 24 cubes

What are the dimensions of this rectangular prism?
Eleanor M. Savko 4/5/2017 1 pt What are the dimensions of this rectangular prism?

1 x 2 x 4 (in any order) 1 pt 1 unit 4 units 2 units Eleanor M. Savko
4/5/2017 1 pt 4 units 2 units 1 unit 1 x 2 x 4 (in any order)

What is the surface area of this rectangular prism?
Eleanor M. Savko 4/5/2017 2 pt What is the surface area of this rectangular prism?

The surface area is 62 square units
Eleanor M. Savko 4/5/2017 2 pt 10 green squares 15 red squares 6 yellow squares But remember there are 2 of each of these faces, so multiply the sum by 2. ( ) x 2 = 62 The surface area is 62 square units

Hint: can you draw the finished prism?
Eleanor M. Savko 4/5/2017 3 pt What is the surface area of this shape if it is completely filled with cubes? Hint: can you draw the finished prism?

3 pt finished (28 + 32 + 56) x 2 = 232 units2
Eleanor M. Savko 4/5/2017 3 pt finished 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 : ( ) x 2 = 232 units2

What is the surface area of the triangular prism?
Eleanor M. Savko 4/5/2017 4 pt What is the surface area of the triangular prism?

Eleanor M. Savko 4/5/2017 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 Total surface area = 204 cm2

What is the surface area of the rectangular prism?
Eleanor M. Savko 4/5/2017 5 pt What is the surface area of the rectangular prism? 13 cm 25 cm 21 cm

The surface area of the rectangular prism is 2246 cm2
Eleanor M. Savko 4/5/2017 5 pt 13 x 21 = 273 25 x 21 = 525 13 x 25 = 325 ( ) x 2 = The surface area of the rectangular prism is 2246 cm2

How would you label an answer for a volume problem?
Eleanor M. Savko 4/5/2017 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?
Eleanor M. Savko 4/5/2017 How would you label an answer for a volume problem? A. units B. square units C. cubic units

Eleanor M. Savko 4/5/2017 2 pt What would the volume of the prism be, if it was completely filled with cubes?

The prism contains 120 cubes.
Eleanor M. Savko 4/5/2017 2 pt 4 rows of 6 5 levels of 24 = 120 cubes The prism contains 120 cubes.

Eleanor M. Savko 4/5/2017 3 pt If the rectangle below was filled with cubes 7 levels high, what would be the total volume? 11 cm 5 cm

Eleanor M. Savko 4/5/2017 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

What is the volume of this prism?
Eleanor M. Savko 4/5/2017 4 pt What is the volume of this prism? 100 cm 73 cm 15 cm

100 cm 73 cm 15 cm 4 pt The volume is 109,500 cm3.
Eleanor M. Savko 4/5/2017 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.

Eleanor M. Savko 4/5/2017 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?

Eleanor M. Savko 4/5/2017 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.

Which of these flat patterns will not completely cover a unit cube (A unit cube is one single cube)?
Eleanor M. Savko 4/5/2017 1 pt

These 4 shapes will not cover a unit cube.
Eleanor M. Savko 4/5/2017 1 pt These 4 shapes will not cover a unit cube.

Eleanor M. Savko What are the dimensions of the resulting prism after folding the flat pattern into a prism? 4/5/2017 2 pt

4 x 3 x 3 are the dimensions (in any order)
Eleanor M. Savko 4/5/2017 2 pt 3 units 3 units 4 units 4 x 3 x 3 are the dimensions (in any order)

Eleanor M. Savko 4/5/2017 3 pt A 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.

Eleanor M. Savko 4/5/2017 3 pt The following boxes all have a volume of 30 cubic units. Notice all the dimensions are FACTORS of 30. 1 x 1 x 30 1 x 2 x 15 1 x 3 x 10 1 x 5 x 6 2 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?
Eleanor M. Savko 4/5/2017 4 pt When put together, what is the volume of this figure?

4 pt 12 units3 12 units3 52 units3 12 units3 16 units3
Eleanor M. Savko 4/5/2017 4 pt 12 units3 12 units3 52 units3 12 units3 16 units3

Give the list of boxes that have a volume of 40 cubic units.
Eleanor M. Savko 4/5/2017 5 pt Give the list of boxes that have a volume of 40 cubic units. (hint: there are 6 possibilities)

5 pt The following boxes all have a volume
Eleanor M. Savko 4/5/2017 5 pt The 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 40 1 x 2 x 20 1 x 4 x 10 1 x 5 x 8 2 x 2 x 10 2 x 4 x 5

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