#### Transcript of Surface Area and Volume

**By: James DiSandro**

**Surface Area and Volume**

Surface Area of a

rectangular and

triangular prism

To find the surface area of a rectangular prism you have to do the equation below

Surface Area of a Cylinder

The Basics Of Surface Area

Surface Area is the "perimeter" of a 3-D shape. Today we will be talking about the ways to find the surface area of rectangular/triangular prisims and cyliders.

Now if I had a triangular prism....

like this one....

I would do SA=2(

A)

Blue

+(A)

Red

+(A)

Green

+(A)Black

And I colored coded it...

pretend the top is black

(A)= Area of

But basically... All you have to do is find all the sides areas and add them together

(remember triangle areas are cut in two!)

How to find the volume of Prisms

A rectangular prism has volume formula V = lwh. So, for example, if a rectangular prism has dimensions l = 12 in., w = 4 in., and h = 3 in., then V = 144 in.³

How to find the volume of a cylinder

The volume of a cylinder equals π r2 h

Say if i had a cylinder with a radius of 5 and a height of 7.

To find the surface area of a cylinder

you have find the area of the two circles on the bottom and top and then add it to the area of the rectangle. So 2piR squared + the circumfrence of the circle*height

131.88

So the answer would be...

131.88

Now on to volume!

Volume is the space INSIDE a 3-D shape. Basically the opposite of Surface Area witch is the space outside.

But for triangular...

You must do L*W*H

÷ 2!

The equation would be π*5*2*7

So the answer would be:

219.8

Questions:

Question 1: If I had a Pepsi can with a radius of 3 and a height of 5 what would be the volume?

94.2 inches cubed

Question 2: If I had a rectangular prism with a base of 4, a height of 6 and a width of 7 what would be the surface area?

188 inches cubed

Question 3: If I had a package of marbles that had a base of 7, a height of 4 and a width of 9 what would be the volume?

252 inches cubed

Fin

Question 4: what is the difference between surface area and volume? explain.

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