Review Chapter 12
Name __________________________ Period _________
Do work on your own sheet only record answers on this sheet. All answer must be exact
unless stipulated in the problem. Work must be shown neatly for all problems.
Formulas must be shown for each problem.
Find the surface area and Volume of each right prism.
12 ft
1)
3 in
2)
4 ft
9 ft
10 in
12 in
5 ft
5 ft
6 ft
For 3-5, use b as the base edge of a square pyramid, h as the height or a square
pyramid, and ℓ as the slant height of a square pyramid. Draw a diagram.
3)
h= 12 inches; ℓ = 13 inches
4)
h= 15 cm; b = 16 cm
b = _____________________
ℓ = _____________________
SA = ____________________
SA = ____________________
V = _____________________
V = _____________________
h = _____________________ 5)
ℓ = 10 meters; b= 12 meters
SA = ____________________
V = _____________________
For 6-8, use r as the radius of a right cylinder and h as the height of a right cylinder.
Draw a diagram.
SA = ____________________ 6)
r = 3 feet; h = 7 feet
r = ____________________
7)
h = 9 km; SA = 224π km2
h = ____________________
8)
r = 6 m; SA = 226π m2
For 9-11, use r as the radius of a right cone, h as the height of a right cone, and ℓ as the
slant height of a right cone. Draw a diagram.
ℓ = ____________________
SA = __________________
V = _____________________
9)
r = 12 dm; h = 5 dm
h = ____________________
10)
r = 6 in; SA = 96π in2
11)
r = 8 feet; ℓ = 17 feet
ℓ = ____________________
V = _____________________
h = ____________________
SA = __________________
V = _____________________
12) A rectangular block of cement is made by pouring cement into a mold with dimensions of 12 ft.
by 10 ft. by 6 in. What is the surface area and volume of the block?
13) The base of a right prism is an equilateral triangle with sides of length 9 cm. The height of the
prism is 6 cm. Find the exact surface area and volume.
14) A right prism has a regular hexagonal base. The sides of the base are each 8 in. long, and the
height of the prism is 10 in. Find the exact surface area and volume.
15) Find the surface area and volume of right prism with equilateral triangular bases is all edges
are 12 cm. long.
16) Find the surface area and volume of a regular pyramid with equilateral triangular base where
all edges are 18 cm. long.
17) The base of right prisms is a rhombus with diagonals measuring 10 ft. and 24 ft. The height of
the prism is 24 ft. Find the surface area and volume.
18) In a right pentagonal prism, one edge of a regular pentagon base is 4 m. If the height of the
prism is 6 m. find the surface area and volume of the prism to the nearest hundredth.
In 19 – 21, find the volume or surface area.
V = ___________________ 19.
Regular hexagonal pyramid
8
height of the
pyramid = 25
outer SA = _____________ 20.
Union of two right congruent cones.
14
24
SA = __________________ 21.
Find the volume and surface area of a square pyramid with base
length of 24 cm. and height of 16 cm.
V = ___________________
________________________22.
Suppose a classroom is 32 ft. long, 24 ft. wide, and 12 ft. high.
Each person
in the room must have 200 ft.3 of air. To the nearest person find the
maximum number of people that should be allowed in the room.
Think when rounding.
_______________________ 23.
A spherical water tank with diameter of 26 meters supplies water to
a
small town. The town uses about 400 cubic meters of water per day.
To the nearest day, how long would a full tank last if no water were
replaced due to drought conditions. Think when rounding.
_______________________ 24.
A silo is a farm building composed of a hemisphere and a cylinder
both with the same radius. The silo, pictured at the right, must be
sprayed with rustproof paint on the outside. The radius of the silo is
10 ft. To the nearest gallon how many gallons of paint must be used
if 1 gallon covers 300 sq. ft.?
20
ft.
_____________________25.
A cylindrical tank has a diameter of 12 in. with 20 in. of water. A
piece of iron is submerged in the water and the water level is raised 6
in. What is the volume of the piece of iron?