1. 11 – 6f Area, Surface Area & Volume

2. Volume = Bw
B = Area of the base
w = width

3. Area h is the height of the line that is perpendicular to the base
Area of a parallelogram = bh

4. B = Base of prism which is a triangle (use the area of a triangle formula)

5. Find area of rectangle and triangle and add them together.

6. Four sides of the cube base (four squares)
The dimensions of the dog house are a = 3 feet, b = 1 foot, and c = 1.8 feet
Left
Rectangle
Right
Rectangle
If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use? CALCULATE SURFACE AREA
Front
Triangle
To calculate how many square feet of paint Bradley will use, first identify the sides of the dog house to be painted.
Right
square
Left square
Front square
Four sides of the cube base (four squares)
and four sides of the triangular prism top (two triangles and two rectangles) will be painted.
Back
square

7. If the block was cube-shaped with side lengths of 10 inches, and the hole had side lengths of 3 inches, how much wood was left after the hole was cut out? 10 3 3 10
Find volume of large cube
Find volume of hole (small cube)
Subtract large cube volume from hole (small cube) volume

8. If a = 6 in and b = 5 in, what is the area of the sketch?
Since this is an unusual shape, divide it up into a trapezoid and a rectangle.
Area of Trapezoid = ½(b1 + b2) h
= ½ ((2*6) + 6) 6
= ½ (12 +6) 6
= ½ (18) 6
= 9 * 6
= 54 in squared
Area of Rect = b * h
= (4*5)5
= (20)5
= 100 in squared
Add the area of the rectangle and the trapezoid =
= 154 in squared

9. Add the volumes of both rectangles together
If a = 4 inches, b = 5 inches, c = 10 inches, and d = 3 inches, what is the volume of the cake?
Top Rectangle
Vol = abd
= (4)(5)(3)
= (20)(3)
= 60 in. cubed
Add the volumes of both rectangles together
= 180 in cubed
Bottom Rectangle
Vol = acd
= (4)(10)(3)
= (40)(3)
= 120 in. cubed