Name ___________________________________________ Date _____________________ Class ____________________
11.2 Prisms and Cylinders
Unit 11: Spatial Reasoning
Write each formula.
1. Volume of a prism
______________________
2. Volume of a cylinder
______________________
3. Volume of a cube with edge length s
______________________
4. Surface area of a cylinder
______________________
Find the volume and surface area of each prism. Round to the nearest tenth if necessary.
5.
6.
rectangular prism
triangular prism (base triangle is isosceles
with sides 3yd, 3.4 yd, 3.4 yd)
Volume: _____________________________________
Volume: _____________________________________
Surface Area: ________________________________
Surface Area:_________________________________
7.
8. Cube with side length 10 ft.
octagonal prism with apothem 8.7 mm
Volume: _____________________________________
Volume: _____________________________________
Surface Area: ________________________________
Surface Area:_________________________________
Name ___________________________________________ Date _____________________ Class ____________________
9.
Layla needs to store 8 boxes while she is moving. Each box is a cube with edge length 3 feet.
A storage facility charges $0.75 for every cubic foot of storage per month. Find the amount
of money Layla will pay to store her boxes for one month. (Hint: first decide whether
volume or surface area is appropriate for this problem)
_________________________________
Find the volume and surface area of each cylinder. Give your answers BOTH in terms of π
AND rounded to the nearest tenth.
10.
11. A cylinder with diameter 20 in.
and height 2 in.
Volume: _____________________________________
Volume: _____________________________________
Surface Area: ________________________________
Surface Area:_________________________________
12.
13. A cylinder with base circumference 18π ft
and height 10 ft.
Volume: _____________________________________
Volume: _____________________________________
Surface Area: ________________________________
Surface Area:_________________________________
Name ___________________________________________ Date _____________________ Class ____________________
14. CDs have the dimensions shown in the figure. Each CD
is 1 mm thick. Find the volume in cubic centimeters of a
stack of 25 CDs. Round to the nearest tenth.
_____________________________
Use the prism at right for #15–17.
15. Find the volume of the prism.
_______________________
16. Find the volume of the prism after each dimension is multiplied by 3. ___________________
17. Describe the effect on the volume of multiplying each dimension of a prism by 3.
_________________________________________________________________________________________________
_________________________________________________________________________________________________
18. Find the volume of the composite figure. Round to the nearest tenth.
____________________________________________