Surface area.notebook - Grade 10 Math
Surface area.notebook - Grade 10 Math
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 />
11
<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