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Surface area.notebook - Grade 10 Math

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<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

<strong>Surface</strong><br />

Area<br />

1


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

surface <strong>area</strong><br />

• <strong>Surface</strong> <strong>area</strong> is found by finding the <strong>area</strong> of<br />

all the sides and then adding those answers up.<br />

• How will the units in the answer be labeled<br />

• Units 2 because it is <strong>area</strong>!<br />

2


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

Net Diagram<br />

• A net is a 2D pattern used to construct 3D shape<br />

It is what the object would look like if it were “unfolded”<br />

• Ex. Net for a cube:<br />

3


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

Cube<br />

Are all the faces the same<br />

4m<br />

How many faces are there<br />

Find the <strong>Surface</strong> <strong>area</strong> of one of the faces.<br />

4 x 4 = 16 Take that times the number of faces.<br />

X 6<br />

96 m 2 SA for a cube.<br />

4


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

Rectangular Prism<br />

B<br />

5 in<br />

A C<br />

6 in<br />

4 in<br />

A = 5 x 4 = 20 x 2 =40<br />

B = 6 x 5 = 30 x 2 = 60<br />

C = 4 x 6 = 24 x 2 = 48<br />

How many faces are on here<br />

Find the <strong>area</strong> of each of the faces.<br />

Do any of the faces have the same <strong>area</strong><br />

If so, which ones<br />

Opposite faces are the same.<br />

148 in 2 Find the SA<br />

5


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

trıangular prısm<br />

How many faces are there<br />

4 m<br />

3 m<br />

5 m<br />

<strong>10</strong> m<br />

How many of each shape does it take to make this prism<br />

2 triangles and 3 rectangles = SA of a triangular prism<br />

Find the surface <strong>area</strong>. Start by finding the <strong>area</strong> of the triangle. 4 x 3/2 = 6 x 2= 12<br />

How many triangles were there<br />

Find the <strong>area</strong> of the 3 rectangles.<br />

What is the final SA<br />

5 x <strong>10</strong> = 50 = front<br />

4 x <strong>10</strong> = 40 = back<br />

3 x <strong>10</strong> = 30 = bottom<br />

SA = 132 m 2<br />

6


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

How would you find the surface <strong>area</strong> of a Pyramid<br />

7


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

8


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

9


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

Special <strong>Surface</strong> Areas<br />

<strong>10</strong>


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

Cone Sphere Cylinder<br />

A = Πr 2 + Πrs A = 4Πr 2 A = 2Πr 2 + 2Πrh<br />

(s - slant height of cone)<br />

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<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

Cylinders<br />

What does it take to make this<br />

2 circles and 1 rectangle= a cylinder<br />

Area of circles<br />

Area of rectangle<br />

A = B x H<br />

A = B x Circumference<br />

A = <strong>10</strong> x 18.84<br />

A = 188.4 m 2<br />

SA = 188.4 + 56.52 = 244.92m 2<br />

12


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

<strong>Surface</strong> Area<br />

• Determine the surface <strong>area</strong> of a volleyball that has a<br />

diameter of 22 cm.<br />

13


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

Diameter of 12 mm, height of 14 mm and slant of 21 mm.<br />

Calculate <strong>Surface</strong> <strong>area</strong>.<br />

14


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

15


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

16


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

17


<strong>Surface</strong> <strong>area</strong>.<strong>notebook</strong><br />

May 09, 2013<br />

Volume<br />

• Determine the volume of a volleyball that has a<br />

diameter of 22 cm.<br />

18

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