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# Surface Area and Volume of a Shape

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on 25 January 2011#### Transcript of Surface Area and Volume of a Shape

Surface Area and Volume of a Shape

What is surface Area? Surface Area is the area required to cover 3 Dimensional shape. What is volume? Volume is the amount space occupied by the 3 Dimensional shape. Or Number of unit cubes that will fit into a 3 Dimensional shape. How do you find volume and surface area of a rectangular prism? The formula of the surface area of rectangular prism is 2(wh + lw + lh)

Surface Area: Say that h is 2cm, w is 3cm and L, 5cm.

= 2 (6 + 15 + 10) = 2 x 31

= 62cm^2

Volume: 2 x 3 x 5 = 30cm^3 Finding the Surface Area and the volume of a cube Cube has all same heigh, length and width let's say that the length is 3cm. So height and width will also be 3 cm. First find the area of one side which is 3 x 3 = 9. And times it by 6 because there are 6 sides in in the cube. So it is 9 x 6 = 54cm^2. The Surface Area is 54cm^2. Finding the Volume and Surface Area of Cylinder Surface Area: Let's say that r= 2cm, h=3cm. The equation is 2 x π x r^2 + 2 x π x 2 x 3. It's (2 x 3.14 x 4) + (2 x 3.14 x 2 x 3) =

= 37.68 + 25.12

= 62.8cm^2 Volume: Let's say that r=2 and h=3. The equation is π x r^2 x h.

So it's 3.14 x 4 x 3 = 37.68cm^3 Finding the surface area and volume of Cone Surface Area: Let's say that r=2cm, s=3cm and h=5cm. The equation is π x r x s + π x r^2. It's 3.14 x 2 x 3 + 3.14 x 4 = 31.4cm^2 Volume: Let's say that r=2 and h=3. The equation is 1/3 x π x r^2 x h. Which is 1/3 x 3.14 x 4 x 3 = 12.56cm Volume: Cube has equal length of the sides so if the width is 3cm, height and length will also be 3cm. The equation to find the volume is L x W x H, so it's 3 x 3 x 3 which is 27cm^3 Surface Area and Volume of Sphere Surface Area: Let's say that r=2. The equation is 4 x π x r^2 which is 4 x 3.14 x 4. Then the answer is 50.24cm^2 Volume: Let's say that r=3. The equation to find the volume of Sphere is 4/3 x π x r^3. It is 4/3 x 3.14 x 27 = 113.04cm^3 So that was my presentation and that was the equations of finding the surface area and volume of a shape. Thank you for watching my Presentation My bibliography:

Websites:

http://math.about.com/od/formulas/ss/surfaceareavol.htm-Igotimagesfrom here.

http://www.mathsteacher.co

m.au/year9/ch14_measurement/12_cube/cube.htm

http://www.math.com/tables/geometry/surfareas.htm#rec

http://staff.argyll.epsb.ca/jreed/math9/strand3/3107.htm

http://math.about.com/od/geometry/ss/cube_2.htm

http://math.about.com/od/geometry/ss/cube.htm

Game Website:http://www.scholarnet.co.nz/member/courses/smol/data/site/flash_apps/Measurement.php

http://www.shodor.org/interactivate/activities/SurfaceAreaAndVolume/

Books:

Peterson, Ivars. The Mathematical Tourist. New York: W.H. Freman and Company, 1988. Print. Big Question:

How do you find a surface area and volume of a shape? Essential questions:

What is a surface area and how do you find surface area of each shape?

What is volume and how do you find the volume of a shape?

How do you find the volume and surface area of cube, cylinder, rectangular prism, cone and sphere?

Full transcriptWhat is surface Area? Surface Area is the area required to cover 3 Dimensional shape. What is volume? Volume is the amount space occupied by the 3 Dimensional shape. Or Number of unit cubes that will fit into a 3 Dimensional shape. How do you find volume and surface area of a rectangular prism? The formula of the surface area of rectangular prism is 2(wh + lw + lh)

Surface Area: Say that h is 2cm, w is 3cm and L, 5cm.

= 2 (6 + 15 + 10) = 2 x 31

= 62cm^2

Volume: 2 x 3 x 5 = 30cm^3 Finding the Surface Area and the volume of a cube Cube has all same heigh, length and width let's say that the length is 3cm. So height and width will also be 3 cm. First find the area of one side which is 3 x 3 = 9. And times it by 6 because there are 6 sides in in the cube. So it is 9 x 6 = 54cm^2. The Surface Area is 54cm^2. Finding the Volume and Surface Area of Cylinder Surface Area: Let's say that r= 2cm, h=3cm. The equation is 2 x π x r^2 + 2 x π x 2 x 3. It's (2 x 3.14 x 4) + (2 x 3.14 x 2 x 3) =

= 37.68 + 25.12

= 62.8cm^2 Volume: Let's say that r=2 and h=3. The equation is π x r^2 x h.

So it's 3.14 x 4 x 3 = 37.68cm^3 Finding the surface area and volume of Cone Surface Area: Let's say that r=2cm, s=3cm and h=5cm. The equation is π x r x s + π x r^2. It's 3.14 x 2 x 3 + 3.14 x 4 = 31.4cm^2 Volume: Let's say that r=2 and h=3. The equation is 1/3 x π x r^2 x h. Which is 1/3 x 3.14 x 4 x 3 = 12.56cm Volume: Cube has equal length of the sides so if the width is 3cm, height and length will also be 3cm. The equation to find the volume is L x W x H, so it's 3 x 3 x 3 which is 27cm^3 Surface Area and Volume of Sphere Surface Area: Let's say that r=2. The equation is 4 x π x r^2 which is 4 x 3.14 x 4. Then the answer is 50.24cm^2 Volume: Let's say that r=3. The equation to find the volume of Sphere is 4/3 x π x r^3. It is 4/3 x 3.14 x 27 = 113.04cm^3 So that was my presentation and that was the equations of finding the surface area and volume of a shape. Thank you for watching my Presentation My bibliography:

Websites:

http://math.about.com/od/formulas/ss/surfaceareavol.htm-Igotimagesfrom here.

http://www.mathsteacher.co

m.au/year9/ch14_measurement/12_cube/cube.htm

http://www.math.com/tables/geometry/surfareas.htm#rec

http://staff.argyll.epsb.ca/jreed/math9/strand3/3107.htm

http://math.about.com/od/geometry/ss/cube_2.htm

http://math.about.com/od/geometry/ss/cube.htm

Game Website:http://www.scholarnet.co.nz/member/courses/smol/data/site/flash_apps/Measurement.php

http://www.shodor.org/interactivate/activities/SurfaceAreaAndVolume/

Books:

Peterson, Ivars. The Mathematical Tourist. New York: W.H. Freman and Company, 1988. Print. Big Question:

How do you find a surface area and volume of a shape? Essential questions:

What is a surface area and how do you find surface area of each shape?

What is volume and how do you find the volume of a shape?

How do you find the volume and surface area of cube, cylinder, rectangular prism, cone and sphere?