Name _____________________________________________ Date _______________ Block _________
Volume and Surface Area Study Guide ANSWER KEY
DIRECTIONS: Answer each question. Show all of your work when possible.
1)
Volume
Surface Area
405 cm3
342 cm2
168 cm3
202 cm2
1,205.76 in3
703.36 in2
1,177.5 ft3
628 ft2
2)
3)
h = 6 in
r = 8 in
4)
Name _____________________________________________ Date _______________ Block _________
5) Give a definition for each term and an example of when you would use it:
Volume- The amount of space inside an object, often measured in cubic
units. Example: The amount of liquid it takes to fill the inside a soda can is
determined by its volume.
Surface Area- The total area of all of an object’s outside faces. Example:
The surface area of a package determines the amount of wrapping paper it
takes to cover the package.
6) The neighborhood pool is opening soon for the summer and the owner has to know how
much water it will take to fill it. If the pool is 25 meters long, 15 meters wide, and 4
meters deep, how much water will it take to fill it?
1,500 meters3
7) For a class project, Cynthia decided to make a pair of giant dice. She got two identical
boxes with measurements of 3 ft by 3 ft by 3 ft and decided to cover each one with
white paper. How much paper must be used to cover both?
108 feet2
8) A very large spool of twine is 12 feet tall and 8 feet wide. In order to transport it, it must
be wrapped in saran wrap. How much area does the saran wrap have to cover?
401.92 feet2
9) Karianne is making a ceramic pitcher to hold lemonade. Her pitcher is cylindrical. It is 7
inches wide and 8 inches tall.
a. How many cubic inches of lemonade will her pitcher hold?
307.72 in3
b. What could Karianne do in order to double the amount of lemonade her
pitcher will hold?
Karianne could double the height of the pitcher.
Name _____________________________________________ Date _______________ Block _________
10) You and your family are going to an NFL game. You have so much food to bring that you
decide you need a rectangular cooler with 19,440 cubic inches of space. Due to limited
space in the car, the cooler has to be 30 inches long and 18 inches wide. How tall must
the cooler be?
36 inches
Part IV. For each statement, decide whether it is true or false.
___F___ 11) If the length of a rectangular prism is doubled, then the surface area doubles.
___T___ 12) If the width of a rectangular prism is shortened, the volume will decrease.
___F___ 13) The volume of a cylinder quadruples if the radius is quadrupled.
___T___ 14) If the length of a rectangular prism decreases from 10 inches to 9 inches, the
surface area will also decrease.
Part V.
Without using any formulas, answer the questions below.
15) What happens….
a) to the volume of a rectangular prism when the width is tripled?
The volume will triple.
b) to the volume of a cylinder when the radius is doubled?
The volume will quadruple.
16) When Cinnamon Toast Crunch first came out as a new cereal, the box held just 35 cubic
inches of food. After it became popular, the cereal company decided to double the width
of the box. How many cubic inches did the new box contain?
70 inches3