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Multimedia Project
Tiffany Padgett
Saunders Middle School
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8.8 The student will investigate and solve problems involving volume and surface area of cones and pyramids, using concrete materials and practical situations.
8.10 The student will describe, classify, and construct plane figures and solid figures, including prisms, pyramids, cylinders, and cones.
7.9 The student will investigate and solve problems involving the volume and surface area of a rectangular prisms and cylinders, using concrete materials and practical situations to develop formulas.
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The purpose of the presentation is to provide middle school students with an interactive way to learn how to solve
problems involving area, surface area, and volume.
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A parallelogram with all sides congruent and all angles congruent.
WIDTH
LENGTH
Area= length · width
5LENGTH
WIDTH
A parallelogram with all angles congruent.
Area= length · width
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A quadrilateral with two pairs of parallel sides.
BASE
HEIGHT
Area= Base · Height
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A polygon* having three sides.
*Polygon: a simple closed figure in a plane formed by three or more line segments.
BASE
HEIGHT Area= 1/2 base · height
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HEIGHT
A
B
A quadrilateral with exactly one pair of parallel lines.
Area= 1/2 · height (a + b)
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The set of all points in a plane that are the same distance from a given point called the
center.
RADIUSArea= πr2
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A prism with rectangles as bases.
length
width
height
Surface Area= 2lw + 2wh + 2lh
Volume= length · width · height
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A prism with triangle bases.
Surface Area= 2(1/2 base · height)* + (bottom)side +(front)side + (back)side
*Multiply by two because you have two triangles
Volume= 1/2 · base · height · length
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A shape in space that has two parallel and congruent circular bases.
Radius
height
Surface Area= πr2 + 2πrh
Volume= πr2h
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Side
radius
A shape in space that has a circular base and one vertex
Surface Area= πr2 + πrs
Volume= 1/3 πr2h
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A figure in space with three or more triangular faces and a base in the
shape of a polygon.
Base/Length
height
Surface Area= Length • Width + 4*(1/2 bh)
Width
*multiply by 4 because you have 4 triangular faces.
Volume=1/3 • L• W • H
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•On a separate piece of paper, work out problems 1-5.
•If you forget the formulas, click on the button with an “I” in the middle and it will give you the list of formulas.
•Once finished, click on the button with the “A” in the center for the correct answer.
•Click on any part of the screen to go to the next problem.
To hear the directions, click the sound button.
1812 cm
8 cm
Push for the formulas
1.
APush here for the answer
1912 cm
8 cm
Push for the formulas
1.Answer:
A=lw
=12•8
=96 cm
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12 cm
8 cm
Push for the formulas
2.
HEIGHT
15 cm
10 cm
APush here for answer
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12 cm
8 cm
Push for the formulas
2.
HEIGHT
15 cm
10 cm
Answer:
a=1/2(a+b)h
=1/2(12+15)•10
=1/2(27) •10
=1/2(270)
= 135 cm2
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Push for the formulas
3.
6 ft
10 ft
5 ft
14ft
A Click here for the answer
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Push for the formulas
3.
6 ft
10 ft
5 ft
14ft
Answer:
SA=2(1/2 bh)+side+side+side
=2(1/2•6 •14)+10•6+10•5+10•5
=2( 42)+60+50+50
=84+60+50+50
=244 ft2
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5in
3.5 in
4 in
A
Push for formulas
Push for Answers
4.
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5in
3.5 in
4 in
Answer:
V=lwh
=5•3.5•4
=70 in3
4.
27
3 yds
5 yds
Answer:
V=πr2h
=3.14•32•5
=3.14•9•5
=141.3
5.
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Check out this website for interactive fun!!
Courtesy of George Mason University MetaMedia Mathematics Program
PUSH ME!!Beginners
PUSH ME!!Advanced
PUSH ME!!Introduction
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Click HereGeometry Jokes
Fun Site Click Here
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Merrill’s Pre-Algebra Book Chapter 13 Measuring Area and Volume:
•Practice Problems in the Book
•Practice Worksheets
Other Activities:
•Students can draw and color pictures using 15 different geometric shapes.
•Students can create paper nets of different figures for a more concrete representation of shapes.
•Students can make a slit book of all formulas and pictures of the geometric shapes.
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