Gordon Boyds surface Area Growing Post Macrh 7 2010

* = Squared

Rectangular Prism

To calculate the surface area of a Rectangular Prism you simply calculate the area of 3 sides and add 2 of each of the answers.

Side 1 Side 2 Side 3

L × W = A L × W= A L × W = A

4 × 3 = A 3 × 6 = A 4 × 6 = A

12cm* = A 18cm* = A 24cm* = A

SA = 12cm*+12cm*+18cm*+18cm*

+24cm*+24cm*

SA = 108cm*

Triangular Prism

To calculate the area of a Triangular Prism you calculate the area of the triangle and the 3 rectangles and add it all together.

Triangular Side Rectangular Side 1 Rectangular Side 2

(b × h) ÷ 2 = A L × W = A L × W = A

(2 × 2) ÷ 2 = A 5 × 3 = A 5 × 2 = A

2cm* = A 15cm* = A 10cm* = A

SA = 2cm*+2cm*+15cm*+15cm*+10cm*

= 44cm*

Cylinders

Calculating the surface area of a Cylinder is by far the easiest as it can be done in only 2 formulas.

r = d ÷ 2 SA = 2 × (Pi × r*) + (Pi × d × h)

r = 4 ÷ 2 = 2 × (3.14 × 2*) + (3.14 × 4 × 7)

r = 2 = 200.96cm*

And here's a video that also demonstrates how to calculate surface area

Brianna's Growing Post

In my post I will show you how to find the total surface area of a right triagular prim, a rectangular prism, and a cylinder.

Starting with the Triangular prism:

b=2.3m
h=1.4m

To find the the area of the triangles, you use the formula: bxh/2

bxh/2=A

2.3x1.4/2=A

3.2m2=A

The rectangles in this shape all have different areas.

In this shape there are three rectangles.

The formula that you use to find the area of rectangles is LxW=A.

This the first rectangle.

The second rectangle:

The third rectangle:

To find the total surface are, you add up the area of each shape:

TSA=3.2m+1.61m+0.98+1.87+3.2m

TSA=10.86 m squared

This is how you find the total surface area of a rectangular prism:

To find the total surface area of a rectangular prism, you have to find the area of three sides of the prism; the top, the side, and the front views.


The top view is equal to the bottom of the prism.

The front view is the same as the back.

To find the total surface area, you have to add up the area of each side.

TSA=21+21+43.05+45.05+73.8+73.8

TSA=275.7cm squared

There are two ways to find the total surface area of a cylinder:

Radius=10cm

Height=22cm

The first way of finding the total surface area of a cylinder is using the following formula:

The second way of finding the total surface area of a cylinder:

First you have to find the circumference of the circle. In this question you are given the radius so you have to find the diameter using this formula: rx2=d.

Then you multiply the diameter by pi to get the circumference.

The circumference of the circle is the rectangle's length. So to find the area of the rectangle, you use the formula LxW=A.

To find the area of a circle, you use the formula pi mulitipiled by r squared.

To find the total surface area of a cylinder, you add up the areas of the circles and the rectangle.

Hope I did this all right, please comment :)

Surface Area Growing Post

Rectangular Prism:

To find the surface area of this rectangular prism or any, you need the find the area of each face and add up all of the areas. To find the area of a rectangle you need to use the formula length x width.
Here is the work you should have after trying to find the total surface area:


Triangular Prism:


To find the surface area of a triangular prism, you also need to find the area of each face. You use the same formula to find the areas of the rectangles and you use base x height ÷2 to find the areas of the triangles.
Here is the work you should have after trying to find the total surface area:


Cylinder:


To find the surface area of a cylinder, you need to find the area of each face. You can use
T.S.A. = 2x(π x r²) + ( π x d x h) to find the surface area of a cylinder.
Here is the work you should have after trying to find the total surface area:


Here is a video that shows you how to get all the work.


I hope you liked my post and found it useful. Please comment.

Asham Surface Area Growing Post

Rectangular Prism

I made this in Microsoft paint, so I gave it fake measurements if thats alright.

Net of Rectangular Prism also made in Microsoft Paint (tell me if somethings wrong because I always mess up the nets)

The formula you use to calculate the surface area of a rectangular prism is lxw (length x width). We will do this with all faces to get the area of each face, then add them together, which should give us the surface area.

5cm x 10cm = 50 cm2

5cm x 17cm = 85 cm2

10cm x 17cm = 170 cm2

50cm2+85cm2+170cm2 = 305 cm2

Triangular Prism

Heres is the shape

Here is the Net

The formula to calculate the surface area of a Triangular Prism is bxh÷2 (BASE X HEIGHT ÷ 2)

And heres the answer:

Rectangle = lxw

Rectangle = 2cm x 20cm

Rectangle = 40cm2

Triangle = bxh÷2

Triangle = 2cm x 5cm ÷ 2cm

Triangle = 5cm2

40cm2+5cm2 = 45cm2

Please tell me if I made a mistake, because I usually mess up with Triangular Prism's.

Now last but not least... the cylinder (-.-)

Net of a Cylinder here

Now we have the diameter, but we need to find the radius.

r = d÷2

r = 5 ÷ 2

r = 2.5cm

Now lets find the area of both circle(s)

A = pi x r x r

A = 3.14 x 2.5cm x 2.5cm

A = 19.625cm2 x 2 = 39.25cm2 (AREA OF BOTH CIRCLES)

Area of the Rectangle

A = lxw

A = (pi x d) x w

A = 3.14 x 5cm x 15cm

A = 235.50cm2

39.25cm2 + 235.50cm2 = 274.75cm2

Nhea's Surface Area Growing Post

Rectangular Prism

Draw a Rectangular Prism

Draw its net.

List all measurements on the drawing and on the net.

Read more: http://sargentparkmathzone.blogspot.com/#ixzz0hBCdqCiT
Under Creative Commons License: Attribution Share Alike

• Draw a Rectangular Prism
• Draw its net.
• List all measurements on the drawing and on the net.
• 
• What formulas do you use to calculate surface area?
• - top = l x w- 13 x 2 = 26
  
• - side = l x w- 7 x 2 = 14
• - front = l x w- 13 x 7 = 91
• Calculate the surface are of your rectangular prism.
• - tsa =26+26+14+14+91+91=262 cm

Triangular Prism

• Draw a Triangular Prism
• Draw its net.
• List all measurements on the drawing and on the net.
• 
• What formulas do you use to calculate surface area?
• -Triangles- bxh/2 = 7x8/2= 28 cm
• - lxw = 9x1.5 = 13.5 cm x2 =27 cm
  
• - lxw = 7x1.5 = 10.5 cm
  
• Calculate our the surface are of your triangular prism.
• - tsa = 27 + 10.5 + 28 + 28 = 93.5 cm
  

Cylinder

• Draw a Cylinder Prism
• Draw its net.
• List all measurements on the drawing and on the net.
• 
• What formulas do you use to calculate surface area?
• - 5/2=2.5
  
• - 2 × (π × r2) + (π × d × h)
• - 2 × (π × 2.5x2.5) + (π × 5 × 28)
• Calculate our the surface are of your cylinder prism.
• - S.A. = 2 × (19.62) + (439.6) = 478.84 cm
  

Jennifer's Surface Area Growing Post :]

Hello Everyone!


Feel free to listen to some music while reading my post !


Rectangular Prism
What does it look like?


What would it look like if it was a net?

What formulas you use to calculate this?
The formula I would use is the finding the area of the top, bottom, side faces and find their area then multiply by two to get the other side. Once I have all six faces, I add all of them up to find the surface area of a rectangular prism.


Calculate the Surface Area.


Triangular Prism
What does it look like?

What would it look like if it was a net?

What formulas you use to calculate the surface area?
The formulas I would use is the base multiply by height divide by two equals then I would find the flat faces and find out the areas of them. Once I found them I use the Total Surface Area formula which is Triangle + Triangle + Rectangle + Rectangle + Rectangle.

Calculate the Surface Area.


Cylinder
What does it look like?

What would it look like if it was a net?

What formulas you use to calculate the surface area?
The formula I would use to find the surface area of the cylinder is two multiply by pi times radius squared plus pi times diameter times height.

Calculate the Surface Area.

And here's a video to show you how to calculate the surface area of a rectangular prism, cylinder, and a triangular prism.


Thanks for Reading My post!

Surface Area Growing Post

Rectangular Prism:
Here's how to calculate the area of a rectangular prism,

Side 1 L x W = A 8 x 6 = A 46mm² = A
Side 2 L x W = A 6 x 12 = A 72mm² = A
Side 3 L x W = A 8 x 12 = A 96mm² = A

TSA= 12mm²+12mm²+72mm²+72mm²+96mm²+96mm² = 360mm²

Triangular Prism:
Here's how to calculate the area of a triangular prism,

B x H ÷ 2 = A
230 x 140 ÷ 2 = A
32200 ÷ 2 = A
16100m² = A
L x W = A 230 x 70 = A
16100m² = A

TSA = 16100m²+16100m²+16100m²+16100m² = 64400m²
Cylinder:
Here's how to calculate the area of a cylinder,
r = d÷2 r = 20 ÷ 2 r= 10m
a = ╥ x r x r
a = 3.14 x 10 x 10
a = 314m²
c = ╥d c = 3.14 x 20
c = 62.8m²
a = L x W a = 150 x 62.8
a = 9240m²

TSA = 9240m²+62.8m²+62.8m²= 9545.6m²



REMEMBER TO ALWAYS WRITE YOUR FORMULAS !

Thanks for reading my post. Please Comment