Solid Figures

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# Solid Figures - PowerPoint PPT Presentation

Solid Figures. 7 th Grade Common Core Georgia Performance Standards: TCV.7.G.6 (3) Solve real-world and mathematical problems involving volume of cubes and right prisms. TCV.7.G.6 (2) Compute the surface area of right rectangular prisms and cubes in real-world and mathematical problems.

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## PowerPoint Slideshow about 'Solid Figures' - gail-brooks

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### Solid Figures

7th Grade Common Core Georgia Performance Standards:

TCV.7.G.6 (3) Solve real-world and mathematical problems involving volume of cubes and right prisms.

TCV.7.G.6 (2) Compute the surface area of right rectangular prisms and cubes in real-world and mathematical problems.

TCV.6.G.2 Find the volume of a right rectangular prism with fractional edge lengths. Discover and apply the formulas V = lwh and V = bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.TCV.6.G.4 (1) Represent three-dimensional figures using nets made up of rectangles and triangles.TCV.6.G.4 (2) Use nets to find the surface area of geometric figures in real-world and mathematical problems.

Gail Sherman 2013

What?

Huh?

Pardon Me?

Volume
• CRCT Formula Sheet gives the following formula for the volume of rectangular prisms:

V = area of base x h

• Area of the base is just lw or length x width
• h is the height, or how tall it is.
Volume of a Rectangular Prism
• What is the shape of the base?
• rectangle
• Find area of the base.
• 3x10 = 30
• What is the height?
• 5
• 3x10x5 = 150 units³

3

5

10

5 in.

• Find area of the base.
• What is the height?

4 in.

4 x 5 = 20

9 in.

9

(l x w) x h= (4x5) x 9 = 180in

Volume of a Triangular Prism
• What is the shape of the BIG B base?
• triangle
• Find the area of B.
• (5x10)/2 = 25
• What is the height?
• 4
• 4(5x10)/2 = 100 units³

5

4

10

Nets
• Draw a net of a cube.
• How many faces?

6

Surface Area of a Cube
• Let’s name the faces of our cube.
• Front
• Back
• Top
• Bottom
• Left
• Right

If each side is 3 inches long, find the surface area.

Add the areas of the 6 faces!
• Front is…… 3x3=9
• Back is……. 3x3=9
• Top is……… 3x3=9
• Bottom is… 3x3=9
• Left is……… 3x3=9
• Right is……. 3x3=9
• And the TOTAL is 54 in²

2

4

7

Rectangular Prism
• Just a box.
• Draw a net for this rectangular prism.

2

4

7

☺It’s ok to be different!☺

Now find the surface area.

2

4

7

.

Surface Area of a Rectangular Prism

.

• Front =
• Back =
• Top =
• Bottom =
• Right =
• Left =
• Total =

2

4

7

Rectangular Prism
• Front = 4x7=28
• Back = 4x7=28
• Top = 2x7=14
• Bottom = 2x7=14
• Right = 2x4=8
• Left = 2x4=8
• Total = 100 units ²
Nets
• Draw a net of a triangular prism.
• How many faces?

4in.

2 in.

5 in.

Parts of the Triangular Prism

Triangle

Triangle

Rectangle

Rectangle

Rectangle

4in.

2 in.

5 in.

Add the Parts of the Triangular Prism

Triangle

Triangle

Rectangle

Rectangle

Rectangle

Total =

4in.

½bh= ½(5x4) =10

½bh= ½(5x4) =10

2 in.

lw=5x2 = 10

lw=5x2 = 10

5 in.

lw=5x2 = 10

50 in

Pyramid Net

6 ft

• Draw a net for the square pyramid

5 ft

5 ft

Use the net to name the parts of the pyramid.

6 ft

• Square
• Triangle
• Triangle
• Triangle
• Triangle

5 ft

5 ft

Write Formulas & Compute
• Square
• Triangle
• Triangle
• Triangle
• Triangle

25

15

15

15

15

85ft

lw =

½ bh=

½ bh=

½ bh=

½ bh=

5x5 =

½ (5x6)=

½ (5x6)=

½ (5x6)=

½ (5x6)=