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Chapter 7.4 - Surface Area & Volume

When thinking about surface area, I want you to think about painting the object.

 

Many times people use a net of a 3-dimensional object to find the surface area of it.

net is a flat shape which can be folded up into a three dimensional solid.

To find the surface area of the object all you have to do is find the surface area of each part of the net, then add them together.

 

Here are the nets of a rectangular prism (on left) and a triangular prism (on right).

(I split the videos into three parts.  You will have problems about each type.)

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 Surface area

Lesson #1                                             Video                                          Assignment

Short Cut!!!!!!!

To find the surface area of a cube, just find the suface area of one side (face) and multiply it by 6 (because a cube has 6 equal sides or faces).

 

 

 

 

 

When thinking about volume, I want you to think about filling it with water.

All of these formulas look different, but they are the same concept.

 

In each one you find the area of the base, then multiply it by the heighth.

(I split the videos into three parts.  You will have problems about each type.)

Volume

Lesson #2                                             Video                                          Assignment

You will use the same formula to find the volume of pyramids and cones.

V = 1/3 x B x h

B = area of the base

h = apex to the base

80 is considered full credit.  You can stop at 64.

Volume of pyramids and cones

Lesson #3                                             Video                                          Assignment

To find the surface area and volume of a sphere we will use the following formulas.

 

                           Surface Area                                                         Volume

80 is considered full credit.  You can stop at 64.

 Volume and surface area of spheres

Lesson #4                                             Video                                          Assignment

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