Find the volume of each pyramid with the given values.

1. A four- sided pyramid with base edge of 5 ft and h = 4 ft.

2. A four-sided pyramid with base edge of 10 ft and h = 7 ft.

3. A four-sided pyramid with base edge of 8 yds and h = 9 yds.

4. A four-sided pyramid with base edge of 20 ft and h = 15 ft.

5. A four-sided pyramid with base edge of 11 in and h = 20 in.

Calculate the surface area of each pyramid with the following values. (P = perimeter, b = one side of the base, s=side, h=height). Number of sides is given in each problem.

1. P = 12 ft, s = 4 ft, b = 4 ft, h=2 ft, 3 sides (base is a triangle)

4. P = 45 yds, b = 15 yds, s=15, h=12, 3 sides (base is a triangle)

6. P = 15 ft, b = 5 ft, s=5 ft, h= 4, 3 sides (base is a triangle)

9. P = 45 yds, b = 15 yds, s=10, h=8, 3 sides (base is a triangle)

12. P = 45 ft, b = 15 ft, s=10, h=8, 3 sides (base is a triangle)

15. P = 27 yds, b = 9 yds, s=30, h=25, 3 sides (base is a triangle)

Find the surface area of each of the following figures using the given values.

1. Cube: (s = side)

a. s = 5 ft b. s = 6 in c. s = 12 mm

2. Rectangular prism: ( l = length) (w = width) (h = height)

a. l = 2, w = 5, h = 7 (ft) b. l = 16 in, w = 11 in, h = 10 in

3. Sphere: (r = radius) (d = diameter)

a. r = 12 b. r = 16 c. d = 10

4. Cylinder: (r = radius) (h = height)

a. r = 6, h = 12 b. r = 2, h = 10 c. r = 3, h = 5

5. Application: Sandy wants to cover a wooden cylinder with a diameter of 1 ft and a height of 4 ft with carpet to build a scratching post for her cats. What are the steps she needs to take to complete this task?

Calculate the circumference of the circles with the following dimensions.
C = circumference
D = diameter
R = radius
PI = 3.14

1. a. D = 4 in

b. D = 6 in

c. D = 12 in
2. a. R = 2 ft

b. R = 14 ft

c. R = 12 ft
3. a. R = 9 ft

b. R = 11 ft

c. R = 7 ft
4. a. D = 10 ft

b. R = 9 ft

c. D = 13 ft
5. Application: Dana is planning to ride her bicycle around the circular race track and wants to know the distance. If the diameter of the track is 2 mile, how far is the distance around the race track?