1. PARENT STUDY GUIDE
YES NO I know the formula for the area of triangle
YES NO I know the formula for the area of a parallelogram
YES NO I know the formula for the surface area of a parallelogram
YES NO I know the formula for volume
YES NO I know the formula for the area of a circle
YES NO I know the formula for the circumference of a circle
YES NO I know the numerical value for pi
YES NO I know how to find the area of triangle
YES NO I know how to find the area of a parallelogram
YES NO I know how to find the surface area of a parallelogram
YES NO I know how to find volume
YES NO I know how to find the area of a circle
YES NO I know how to find the circumference of a circle
YES NO I know the definition of face for a three-dimensional figure
YES NO I know the definition of vertex for a three-dimensional figure
YES NO I know the definition of edge for a three-dimensional figure
YES NO I can identify a cylinder
YES NO I can identify a cube (square prism) #1
YES NO I can identify a rectangular prism #2
YES NO I can identify a triangular prism #3
YES NO I can identify a cylinder #4
YES NO I can identify a rectangular pyramid #5
YES NO I can identify a triangular pyramid #6
YES NO I can identify a cone #7
7
3 4
1 2 5 6
2. Cover this right side with a sheet of looeseleaf, try to solve each example, and
then check your work.
Lesson 10- 2
area of a triangle
A = ½bh (Area = ½ base x height)
A = ½•4•8
8 in
A = ½• 32
in
4 A = 16 inches2 or A = 16 square inches
8 in
Lesson 10- 2
area of a parallelogram
7 ft.
3 ft.
A = bh (Area = base x height)
7 ft. A = 7•3
3 ft. A = 21 square feet or A = 21 feet2
Lesson 10- 3
area of a composite figure
Area = lw Area = bh
Area = 4x6 Area = 2x4
Area = 24 Area = 8
Area = 108 + 8
Area = 116 ft2
3. Lesson 10- 4
Comparing Area & Perimeter
When the original figure’s length and width multiplies by __2________, the
perimeter multiplies by ____2____ and the area multiplies by ___22(4)_____.
Lesson 10-5
Circles E
Name the circle A D
Name the two radii of the circle. AB, AC, AD
A
Name the chord of the circle. EC C B
What does the diameter measure? 4cm 4cm
What does the radius measure? 2cm
circumference of a circle
(know how to solve when the diameter & radius are given)
C= πd (Circumference = pi x diameter)
(Cherry Pie is delicious)
18 cm C = 3.14 x 18
C = 56.62 cm
area of a circle
(know how to solve when the diameter & radius are given)
A = πr2 (Area = pi x radius squared)
(Apple pies are too2)
4 ft. A = 3.14 x 42
A = 3.14 x 16 (be sure you do 4 x 4 NOT 4 x 2)
A = 50.24 ft2 or A = 50.24 square feet
4. Lesson 10-6
Solid Figures
cube (square prism) #1
rectangular prism #2
triangular prism #3
cylinder #4
rectangular pyramid #5
triangular pyramid #6
cone #7
7
3 4
1 2 5 6
Lesson 10-7
surface area of a rectangular prism
top (& bottom) add the area for all six sides
si 6 m
de
A front = 9 x 6 = 54 m2
front (& back) A back = 9 x 6 = 54 m2
5m
9m
A top = 9 x 5 = 45 m2
A bottom = 9 x 5 = 45 m2
A left side= 6 x 5 = 30 m2 You can also
A right side= 6 x 5 = 30 m2 multiply the area
S = 258 m2 of one side by the
number of sides
surface area of a triangular prism there are – refer
add the area for all six sides to your notes.
A front = ½ 3 x 4 = 6 m2
A back = ½ 3 x 4 = 6 m2
A side = 6 x 3 = 18 m2
A side = 6 x 3 = 18 m2
A side = 6 x 3 = 18 m2
4m
6m S = 66 m2
3m
5. surface area of a cylinder
7cm
Bases Curved Surface
A= πr2 C = πd
43.96cm
A= 3.14 x 72 C = 3.14 x 14
A= 3.14 x 49____ C = 43.96cm 6cm
2
A= 153.86 cm A = bh
x2 A = 43.96 x 6
A = 307.72 cm2 A = 263.76cm2
S = A of bases + A of curved surface
307.72 cm2
+263.76cm2
S = 571.48cm2
Lesson 10-8
volume of rectangular prism
V = l x w x h (Volume = length x width x height)
6 cm V=5x4x6
V = 20 x 6
5 cm 4 cm V = 120 cm3 or V = 120 cubic cm
volume of triangular prism
V = Bh
(B=Area of bases:)
A=½x4x2
A=½x8
A = 4 (= B)
V=4x4
V = 16 un3
6. volume of a cylinder
V = πr2h
V = 3.14 x 32 x 5
V = 3.14 x 9 x 5
V = 3.14 x 45
V = 141.3
V = 141.3un3