12.4 – Volume of Prisms and Cylinders
12.4 Notes
Volume is:
Volume of Prism =
Volume of Cylinder =
Find the volume of each right prism or right cylinder below. Show all of your work.
1)
2 cm.
2)
3)
4 cm.
13 cm.
30 in
1418in
in
12 in.
13 in.
Volume = __________
15 in.
Volume = __________
Volume = ___________
H
E
18 mm
4)
5)
O
11 cm
X
11 mm
G
N
R
A
Q
L
15 mm
15 mm
V
Base: Regular hexagon
Volume = __________
Volume = __________
4 cm
D
6) A cylinder whose radius is 11 cm has a surface area of 440 cm2. Find the volume of the cylinder.
Volume = ___________________
7) Find the total area and the volume of the solid shown.
Total Area = ___________________
15 cm
4 cm
Volume = ___________________
8) The volume of a rectangular prism is 840 cm3. If the base is an 8cm x 7 cm rectangle, find the
height and the surface area of the prism.
Height = _______________
Surface Area = ______________
9) If the total area of a right circular cylinder is 168 sq in and it has a radius of 7 inches, find the
volume of the cylinder.
10) If the volume of a right circular cylinder is 704 cu cm and it has a height of 11cm, find the lateral
area of the cylinder.